Pith Number

pith:QFPGSOTZ

pith:2021:QFPGSOTZNXVAU3ID7OBTIGEHXB

not attested not anchored not stored refs pending

Symplectic embeddings of 4-manifolds via Lefschetz fibrations

Dishant M. Pancholi, Francisco Presas

arxiv:2110.12950 v1 · 2021-10-25 · math.GT · 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{QFPGSOTZNXVAU3ID7OBTIGEHXB}

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	2026-07-05T03:25:25.682311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

815e693a796dea0a6d03fb83341887b85497f52d694cdfefd90be7c8e26679f9

Aliases

arxiv: 2110.12950 · arxiv_version: 2110.12950v1 · doi: 10.48550/arxiv.2110.12950 · pith_short_12: QFPGSOTZNXVA · pith_short_16: QFPGSOTZNXVAU3ID · pith_short_8: QFPGSOTZ

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/QFPGSOTZNXVAU3ID7OBTIGEHXB \
  | 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: 815e693a796dea0a6d03fb83341887b85497f52d694cdfefd90be7c8e26679f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90699633b556b57287eb47ea5bf26e7b697c75c915c703dc010f1aba2bac1fe4",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-10-25T13:39:16Z",
    "title_canon_sha256": "85bf6e16f5ce5222fc9f0e800347bd5c72939d2ca41996b4bc60ec038a1adf69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.12950",
    "kind": "arxiv",
    "version": 1
  }
}