Pith Number

pith:7T3OT5KT

pith:2013:7T3OT5KTKJM5RDIZX3JDHGSA27

not attested not anchored not stored refs pending

Integrality of relative BPS state counts of toric Del Pezzo surfaces

Gjergji Zaimi, Michel van Garrel, Tony W. H. Wong

arxiv:1312.4112 v2 · 2013-12-15 · 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{7T3OT5KTKJM5RDIZX3JDHGSA27}

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	2026-05-18T02:54:14.020828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf6e9f5535259d88d19bed2339a40d7d877ed27166a781303c874ec75c3ba03

Aliases

arxiv: 1312.4112 · arxiv_version: 1312.4112v2 · doi: 10.48550/arxiv.1312.4112 · pith_short_12: 7T3OT5KTKJM5 · pith_short_16: 7T3OT5KTKJM5RDIZ · pith_short_8: 7T3OT5KT

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/7T3OT5KTKJM5RDIZX3JDHGSA27 \
  | 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: fcf6e9f5535259d88d19bed2339a40d7d877ed27166a781303c874ec75c3ba03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e2210568ea5192b26d21e6fc64a61918a79de76406b18353525a656af240f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-15T06:13:32Z",
    "title_canon_sha256": "faab1e12092000395df9865504a0caa1991e5c52b6591cd6caaa9ad4b477ff4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4112",
    "kind": "arxiv",
    "version": 2
  }
}