Pith Number

pith:FGUEJDN5

pith:2022:FGUEJDN57E4HR3DZ7OSXXLJ2JI

not attested not anchored not stored refs pending

Symplectic Torelli groups of rational surfaces

Jun Li, Tian-Jun Li, WeiWei Wu

arxiv:2212.01873 v1 · 2022-12-04 · math.SG · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGUEJDN57E4HR3DZ7OSXXLJ2JI}

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

2 papers in Pith

Symplectic Classes on Elliptic Surfaces with positive Euler Number

Diffeomorphism groups and gauge theory for families

Receipt and verification

First computed	2026-07-05T05:22:18.040643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a8448dbdf93878ec79fba57bad3a4a119005571d51aff52678b5c080a6cfb6

Aliases

arxiv: 2212.01873 · arxiv_version: 2212.01873v1 · doi: 10.48550/arxiv.2212.01873 · pith_short_12: FGUEJDN57E4H · pith_short_16: FGUEJDN57E4HR3DZ · pith_short_8: FGUEJDN5

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/FGUEJDN57E4HR3DZ7OSXXLJ2JI \
  | 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: 29a8448dbdf93878ec79fba57bad3a4a119005571d51aff52678b5c080a6cfb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699af30a85b5f9b93cd14c22b4c403fa89b5e12ca9896365ad5968209659b2a7",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2022-12-04T16:57:10Z",
    "title_canon_sha256": "bedff9de3e1a3d1ca97871c42f291c1cb00f4779262b4425df014cffc859ef9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.01873",
    "kind": "arxiv",
    "version": 1
  }
}