Pith Number

pith:22AEQJIO

pith:2015:22AEQJIO2OTNE263SVQLJTOLRE

not attested not anchored not stored refs pending

Real Gromov-Witten Theory in All Genera and Real Enumerative Geometry: Computation

Aleksey Zinger, Penka Georgieva

arxiv:1510.07568 v1 · 2015-10-26 · math.AG · hep-th · 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{22AEQJIO2OTNE263SVQLJTOLRE}

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	2026-05-18T01:29:13.825511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68048250ed3a6d26bdb9560b4cdcb890504efcb7ce6c96db2cc790891e73dab

Aliases

arxiv: 1510.07568 · arxiv_version: 1510.07568v1 · doi: 10.48550/arxiv.1510.07568 · pith_short_12: 22AEQJIO2OTN · pith_short_16: 22AEQJIO2OTNE263 · pith_short_8: 22AEQJIO

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/22AEQJIO2OTNE263SVQLJTOLRE \
  | 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: d68048250ed3a6d26bdb9560b4cdcb890504efcb7ce6c96db2cc790891e73dab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a209614a646b54e097a169053d686999d3c079a9b0b520be0a4aaafd3de440",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-26T17:58:16Z",
    "title_canon_sha256": "7eaef39daba111abbbfa8392a95c7d5b49526438a3c9f8505db517fab7410ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07568",
    "kind": "arxiv",
    "version": 1
  }
}