Pith Number

pith:P7MRMMLK

pith:2025:P7MRMMLKR3M5PZ7TXJVUEMLCRY

not attested not anchored not stored refs pending

Finiteness of formal pushforwards

Daniel Krashen, David Harbater, Julia Hartmann

arxiv:2502.01504 v3 · 2025-02-03 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7MRMMLKR3M5PZ7TXJVUEMLCRY}

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	2026-06-11T01:10:25.272366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd916316a8ed9d7e7f3ba6b4231628e097e9bf29851295e342b6b290957c1d6

Aliases

arxiv: 2502.01504 · arxiv_version: 2502.01504v3 · doi: 10.48550/arxiv.2502.01504 · pith_short_12: P7MRMMLKR3M5 · pith_short_16: P7MRMMLKR3M5PZ7T · pith_short_8: P7MRMMLK

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/P7MRMMLKR3M5PZ7TXJVUEMLCRY \
  | 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: 7fd916316a8ed9d7e7f3ba6b4231628e097e9bf29851295e342b6b290957c1d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692f689c5c3b172a5bf7eaa1251e03450dc3964ea0ac9922b5c35505f3a029cd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-03T16:37:49Z",
    "title_canon_sha256": "bc2f52f1fcc1c78809a05d668150ea3fe2672dec2c8813d5ca7bdfe7c18c050a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01504",
    "kind": "arxiv",
    "version": 3
  }
}