Pith Number

pith:TZOQJ2SQ

pith:2016:TZOQJ2SQ3EQIJAUGNLUBMIFOS3

not attested not anchored not stored refs pending

The Fu-Yau equation with negative slope parameter

Duong H. Phong, Sebastien Picard, Xiangwen Zhang

arxiv:1602.08838 v3 · 2016-02-29 · math.CV · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZOQJ2SQ3EQIJAUGNLUBMIFOS3}

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.

Receipt and verification

First computed	2026-05-18T00:33:23.949095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5d04ea50d9208482866ae81620ae96cc3d6769323d10acdad242064f75f586

Aliases

arxiv: 1602.08838 · arxiv_version: 1602.08838v3 · doi: 10.48550/arxiv.1602.08838 · pith_short_12: TZOQJ2SQ3EQI · pith_short_16: TZOQJ2SQ3EQIJAUG · pith_short_8: TZOQJ2SQ

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/TZOQJ2SQ3EQIJAUGNLUBMIFOS3 \
  | 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: 9e5d04ea50d9208482866ae81620ae96cc3d6769323d10acdad242064f75f586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6adb94ea1a71bee4f20a9f8911bad81b2ef4b5071a1550a73051eee31d9e0639",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-02-29T06:39:20Z",
    "title_canon_sha256": "89bafcb143d1470d273be665a2df98a32034d161abfd7099aaec5f88f351d963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08838",
    "kind": "arxiv",
    "version": 3
  }
}