Pith Number

pith:PVVVLL65

pith:2016:PVVVLL65O254NI7QOHBVUL3DTU

not attested not anchored not stored refs pending

Gromov-Witten invariants and localization

David R. Morrison

arxiv:1608.02956 v3 · 2016-08-09 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVVVLL65O254NI7QOHBVUL3DTU}

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	2026-05-18T00:32:14.947351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d6b55afdd76bbc6a3f071c35a2f639d03f8f7a377d0c511bb77828432809cc9

Aliases

arxiv: 1608.02956 · arxiv_version: 1608.02956v3 · doi: 10.48550/arxiv.1608.02956 · pith_short_12: PVVVLL65O254 · pith_short_16: PVVVLL65O254NI7Q · pith_short_8: PVVVLL65

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/PVVVLL65O254NI7QOHBVUL3DTU \
  | 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: 7d6b55afdd76bbc6a3f071c35a2f639d03f8f7a377d0c511bb77828432809cc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33773ea245569198c4a4b6de8db8b0ca3f84a0ce3d4f4bcc857510c3d002c2e5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-08-09T20:01:41Z",
    "title_canon_sha256": "65d35f741f5092023ef35024d04b5cef680f5429757316c1dabc5870527e70a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02956",
    "kind": "arxiv",
    "version": 3
  }
}