Pith Number

pith:Y2KHK5JN

pith:2015:Y2KHK5JNV4PMP63GPH7B5PJZWQ

not attested not anchored not stored refs pending

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

Aleksey Zinger, Penka Georgieva

arxiv:1507.06633 v4 · 2015-07-23 · math.SG · hep-th · 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{Y2KHK5JNV4PMP63GPH7B5PJZWQ}

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	2026-05-18T00:22:40.572191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c69475752daf1ec7fb6679fe1ebd39b4155f053165b644411adda92bb394b775

Aliases

arxiv: 1507.06633 · arxiv_version: 1507.06633v4 · doi: 10.48550/arxiv.1507.06633 · pith_short_12: Y2KHK5JNV4PM · pith_short_16: Y2KHK5JNV4PMP63G · pith_short_8: Y2KHK5JN

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/Y2KHK5JNV4PMP63GPH7B5PJZWQ \
  | 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: c69475752daf1ec7fb6679fe1ebd39b4155f053165b644411adda92bb394b775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "497c5ce88ac80a99bcf31945a3c1f78930ca0bb9b810c850338dd54a71734a7e",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-07-23T19:50:56Z",
    "title_canon_sha256": "4692c1e7ca5bec32bfefdcaaa29df33b8a529319c6f6e961cb565e5cd7c3a965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06633",
    "kind": "arxiv",
    "version": 4
  }
}