Pith Number

pith:7NDMTAPT

pith:2025:7NDMTAPTYR727LAWSW3QPPOTGU

not attested not anchored not stored refs pending

Explicit constructions of short virtual resolutions of truncations

Lauren Cranton Heller

arxiv:2501.06960 v2 · 2025-01-12 · 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{7NDMTAPTYR727LAWSW3QPPOTGU}

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	2026-07-05T12:06:46.649369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb46c981f3c47fafac1695b707bdd3351f7ccb84166f6735ec2d57e2032a31bb

Aliases

arxiv: 2501.06960 · arxiv_version: 2501.06960v2 · doi: 10.48550/arxiv.2501.06960 · pith_short_12: 7NDMTAPTYR72 · pith_short_16: 7NDMTAPTYR727LAW · pith_short_8: 7NDMTAPT

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/7NDMTAPTYR727LAWSW3QPPOTGU \
  | 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: fb46c981f3c47fafac1695b707bdd3351f7ccb84166f6735ec2d57e2032a31bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85be8faeb66166941babb48723339ac701804804bf44cff934c43a93edbbad8b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-12T22:42:48Z",
    "title_canon_sha256": "7fc6df1150e63683b6ff4f59518f71bfe628051f6eff8bc65a9c4d1cf6b9917c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06960",
    "kind": "arxiv",
    "version": 2
  }
}