Pith Number

pith:M54TXVKM

pith:2021:M54TXVKMJY2AEQC3QWTBL7F4QX

not attested not anchored not stored refs pending

Complex cobordism, Hamiltonian loops and global Kuranishi charts

Ivan Smith, Mark McLean, Mohammed Abouzaid

arxiv:2110.14320 v2 · 2021-10-27 · math.SG · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M54TXVKMJY2AEQC3QWTBL7F4QX}

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

3 papers in Pith

The quartic threefold is symplectically irrational

Open-closed Deligne-Mumford field theories: geometric foundations

Reduced Gromov-Witten invariants without ghost bubble censorship

Receipt and verification

First computed	2026-07-05T03:30:42.234149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67793bd54c4e3402405b85a615fcbc85c5f9c1f8b9e0502a1271ab020ad75468

Aliases

arxiv: 2110.14320 · arxiv_version: 2110.14320v2 · doi: 10.48550/arxiv.2110.14320 · pith_short_12: M54TXVKMJY2A · pith_short_16: M54TXVKMJY2AEQC3 · pith_short_8: M54TXVKM

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/M54TXVKMJY2AEQC3QWTBL7F4QX \
  | 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: 67793bd54c4e3402405b85a615fcbc85c5f9c1f8b9e0502a1271ab020ad75468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13dcb1242d7c8ad51b943aea183682331a4a9a5a925732c34a94350252256b6f",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2021-10-27T09:59:17Z",
    "title_canon_sha256": "f656b46c1db6bf3a1380550d0de933ebf2a2dbe07cebf158b921244c5d63cffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.14320",
    "kind": "arxiv",
    "version": 2
  }
}