Pith Number

pith:2C4NEYCL

pith:2015:2C4NEYCL6TCJKABJFOSBAQ6RU7

not attested not anchored not stored refs pending

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

Aleksey Zinger, Penka Georgieva

arxiv:1504.06617 v5 · 2015-04-24 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2C4NEYCL6TCJKABJFOSBAQ6RU7}

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	2026-05-18T00:22:40.591496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0b8d2604bf4c49500292ba41043d1a7c707e67596af330dfa9be46998bb53e0

Aliases

arxiv: 1504.06617 · arxiv_version: 1504.06617v5 · doi: 10.48550/arxiv.1504.06617 · pith_short_12: 2C4NEYCL6TCJ · pith_short_16: 2C4NEYCL6TCJKABJ · pith_short_8: 2C4NEYCL

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/2C4NEYCL6TCJKABJFOSBAQ6RU7 \
  | 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: d0b8d2604bf4c49500292ba41043d1a7c707e67596af330dfa9be46998bb53e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706e9763698538fbef6bdec894848f625488e029a9ce5ccf73dd3376cdfec62b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-04-24T19:54:20Z",
    "title_canon_sha256": "8a82ef3b8ed064db9bad3838960edcf3e8899b9e0702fb4baa15e58ab817ee7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06617",
    "kind": "arxiv",
    "version": 5
  }
}