Pith Number

pith:2KWRATDT

pith:2023:2KWRATDT7LS2XWMMIG5FRDPUKH

not attested not anchored not stored refs pending

Logarithmic enumerative geometry for curves and sheaves

Davesh Maulik, Dhruv Ranganathan

arxiv:2311.14150 v2 · 2023-11-23 · 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{2KWRATDT7LS2XWMMIG5FRDPUKH}

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

2 papers in Pith

Refined curve counting with descendants and quantum mirrors

Receipt and verification

First computed	2026-07-05T10:37:22.192664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ad104c73fae5abd98c41ba588df451eeffc49059010aaee278c14836ea75ba

Aliases

arxiv: 2311.14150 · arxiv_version: 2311.14150v2 · doi: 10.48550/arxiv.2311.14150 · pith_short_12: 2KWRATDT7LS2 · pith_short_16: 2KWRATDT7LS2XWMM · pith_short_8: 2KWRATDT

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/2KWRATDT7LS2XWMMIG5FRDPUKH \
  | 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: d2ad104c73fae5abd98c41ba588df451eeffc49059010aaee278c14836ea75ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f64368b3fe611b0f3e61fc54bc09561d6b63df228a2ad00f27625495292900b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-11-23T18:39:21Z",
    "title_canon_sha256": "70b7e8a9f1844bbc5faef41fdcf01d834e574cfc5e35eb5922ce1ea673c673d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.14150",
    "kind": "arxiv",
    "version": 2
  }
}