Pith Number

pith:CZ7XAMQV

pith:2004:CZ7XAMQVVBFSXPLTH6VE6JQF7C

not attested not anchored not stored refs pending

Logarithmic asymptotics of the genus zero Gromov-Witten invariants of the blown up plane

Eugenii Shustin, Ilia Itenberg, Viatcheslav Kharlamov

arxiv:math/0412533 v3 · 2004-12-30 · math.AG · 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{CZ7XAMQVVBFSXPLTH6VE6JQF7C}

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	2026-05-18T02:37:59.842050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167f703215a84b2bbd733faa4f2605f8a2f869e0711396462fd782d93864ff44

Aliases

arxiv: math/0412533 · arxiv_version: math/0412533v3 · doi: 10.48550/arxiv.math/0412533 · pith_short_12: CZ7XAMQVVBFS · pith_short_16: CZ7XAMQVVBFSXPLT · pith_short_8: CZ7XAMQV

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/CZ7XAMQVVBFSXPLTH6VE6JQF7C \
  | 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: 167f703215a84b2bbd733faa4f2605f8a2f869e0711396462fd782d93864ff44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02e473460684b85c9131aa259eaa22d8e6de3af52e040db3c961341557605c3",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-12-30T02:04:58Z",
    "title_canon_sha256": "920ddf88c8bf9dc1a53d22bd1c403bdd09ab74e86db4970234df5cec17fce1f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412533",
    "kind": "arxiv",
    "version": 3
  }
}