Pith Number

pith:KBVQU45I

pith:2023:KBVQU45IMUXGFEHKC3M6P3TJQC

not attested not anchored not stored refs pending

Real enumerative invariants relative to the anti-canonical divisor and their refinement

Eugenii Shustin, Ilia Itenberg

arxiv:2303.06203 v1 · 2023-03-10 · 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{KBVQU45IMUXGFEHKC3M6P3TJQC}

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.

Cited by

1 paper in Pith

BPS polynomials and Welschinger invariants

Receipt and verification

First computed	2026-07-05T05:50:15.931281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506b0a73a8652e6290ea16d9e7ee6980bb93a6157ad6da69618b9262324d9b53

Aliases

arxiv: 2303.06203 · arxiv_version: 2303.06203v1 · doi: 10.48550/arxiv.2303.06203 · pith_short_12: KBVQU45IMUXG · pith_short_16: KBVQU45IMUXGFEHK · pith_short_8: KBVQU45I

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/KBVQU45IMUXGFEHKC3M6P3TJQC \
  | 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: 506b0a73a8652e6290ea16d9e7ee6980bb93a6157ad6da69618b9262324d9b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c24817ee31ea4ac942160430433f1cc379a056b61caa71b6fe346cc78cb6056",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-03-10T20:43:13Z",
    "title_canon_sha256": "56ccab683c081895056bd15557139207deed906cee89ba293682f35eea39fa91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.06203",
    "kind": "arxiv",
    "version": 1
  }
}