Pith Number

pith:MU3I3YE3

pith:2017:MU3I3YE3I4OHKYYLIKCBNMYO3V

not attested not anchored not stored refs pending

Computing a categorical Gromov-Witten invariant

Andrei Caldararu, Junwu Tu

arxiv:1706.09912 v2 · 2017-06-29 · math.AG · hep-th · math.KT · 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{MU3I3YE3I4OHKYYLIKCBNMYO3V}

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	2026-05-18T00:40:28.232623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65368de09b471c75630b428416b30edd79332fe526731de54244f57f45adb185

Aliases

arxiv: 1706.09912 · arxiv_version: 1706.09912v2 · doi: 10.48550/arxiv.1706.09912 · pith_short_12: MU3I3YE3I4OH · pith_short_16: MU3I3YE3I4OHKYYL · pith_short_8: MU3I3YE3

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/MU3I3YE3I4OHKYYLIKCBNMYO3V \
  | 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: 65368de09b471c75630b428416b30edd79332fe526731de54244f57f45adb185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9d08bcb2187e3ca8faa89ffa66c3ef2255867a0e98d7ea70ba325ca820b3030",
    "cross_cats_sorted": [
      "hep-th",
      "math.KT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-29T18:04:05Z",
    "title_canon_sha256": "59394279fc453050edea48367f872e910126dc6b6d1fe427b41479be54b3d208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09912",
    "kind": "arxiv",
    "version": 2
  }
}