Pith Number

pith:6SNP5C5D

pith:2020:6SNP5C5DTFHFTG47QXMGU2OWD5

not attested not anchored not stored refs pending

Pixton's formula and Abel-Jacobi theory on the Picard stack

David Holmes, Johannes Schmitt, Rahul Pandharipande, Rosa Schwarz, Younghan Bae

arxiv:2004.08676 v2 · 2020-04-18 · 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{6SNP5C5DTFHFTG47QXMGU2OWD5}

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

The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

Receipt and verification

First computed	2026-07-05T03:16:49.366707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f49afe8ba3994e599b9f85d86a69d61f43a5cb2c69280995394a8cd4b6de4be1

Aliases

arxiv: 2004.08676 · arxiv_version: 2004.08676v2 · doi: 10.48550/arxiv.2004.08676 · pith_short_12: 6SNP5C5DTFHF · pith_short_16: 6SNP5C5DTFHFTG47 · pith_short_8: 6SNP5C5D

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/6SNP5C5DTFHFTG47QXMGU2OWD5 \
  | 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: f49afe8ba3994e599b9f85d86a69d61f43a5cb2c69280995394a8cd4b6de4be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee02cdbbc7c845e911ed647cfc94c7318b5b948071f6bbcaa35c0d6913ad6def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-04-18T17:59:30Z",
    "title_canon_sha256": "e8829c56db13d6538ca075ce131f0e5f2c04bdc56191edb22cb781db8a3a5a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08676",
    "kind": "arxiv",
    "version": 2
  }
}