Pith Number

pith:FJYZAVDV

pith:2021:FJYZAVDVG5TWV3ZJNMB2RZFQ26

not attested not anchored not stored refs pending

Stability of the Type IIA flow and its applications in symplectic geometry

Duong H. Phong, Sebastien Picard, Teng Fei, Xiangwen Zhang

arxiv:2112.15580 v1 · 2021-12-31 · math.DG · hep-th · math-ph · math.AP · math.MP · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJYZAVDVG5TWV3ZJNMB2RZFQ26}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Torsion parallel spinors on Lorentzian four-manifolds and supersymmetric evolution flows on bundle gerbes

Receipt and verification

First computed	2026-07-05T03:44:47.756995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a7190547537676aef296b03a8e4b0d7b8235777213356e6fe7b9a2979258884

Aliases

arxiv: 2112.15580 · arxiv_version: 2112.15580v1 · doi: 10.48550/arxiv.2112.15580 · pith_short_12: FJYZAVDVG5TW · pith_short_16: FJYZAVDVG5TWV3ZJ · pith_short_8: FJYZAVDV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FJYZAVDVG5TWV3ZJNMB2RZFQ26 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2a7190547537676aef296b03a8e4b0d7b8235777213356e6fe7b9a2979258884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "509334846265a5d8c4f2b3b015e1772af4f6dcb5eb81bad08eb24a1a5dc403f9",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AP",
      "math.MP",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-12-31T18:15:20Z",
    "title_canon_sha256": "d4d1397164f9361871da31d389b5febff2b8db3ba62a14b37e72510279097d8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15580",
    "kind": "arxiv",
    "version": 1
  }
}