Pith Number

pith:HWDJ4S6H

pith:2018:HWDJ4S6HLRE3IN2OCJ4YKB222U

not attested not anchored not stored refs pending

Gromov--Witten invariants of the Riemann sphere

Boris Dubrovin, Di Yang, Don Zagier

arxiv:1802.00711 v1 · 2018-02-02 · math.AG · 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{HWDJ4S6HLRE3IN2OCJ4YKB222U}

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	2026-05-18T00:24:32.504856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d869e4bc75c49b4374e127985075ad53dc550cc3ca5f64c27cf7c50a2b86589

Aliases

arxiv: 1802.00711 · arxiv_version: 1802.00711v1 · doi: 10.48550/arxiv.1802.00711 · pith_short_12: HWDJ4S6HLRE3 · pith_short_16: HWDJ4S6HLRE3IN2O · pith_short_8: HWDJ4S6H

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/HWDJ4S6HLRE3IN2OCJ4YKB222U \
  | 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: 3d869e4bc75c49b4374e127985075ad53dc550cc3ca5f64c27cf7c50a2b86589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177ef7877e934d8e25e03bce36e7c323cf5757416863ac008d95d874d5a328cd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-02T14:57:34Z",
    "title_canon_sha256": "e97fa7094228465dc071e38c311c418614db13fd3ba884966d62529b1943337f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00711",
    "kind": "arxiv",
    "version": 1
  }
}