Pith Number

pith:X446CZ5O

pith:2012:X446CZ5OCFE4ZGNTEEFYRLDMBH

not attested not anchored not stored refs pending

Coarsening of graded local cohomology

Fred Rohrer

arxiv:1207.2547 v2 · 2012-07-11 · 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{X446CZ5OCFE4ZGNTEEFYRLDMBH}

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	2026-05-18T02:55:04.407105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf39e167ae1149cc99b3210b88ac6c09e933b4b1a7c177fc11d5733f6f7b19a7

Aliases

arxiv: 1207.2547 · arxiv_version: 1207.2547v2 · doi: 10.48550/arxiv.1207.2547 · pith_short_12: X446CZ5OCFE4 · pith_short_16: X446CZ5OCFE4ZGNT · pith_short_8: X446CZ5O

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/X446CZ5OCFE4ZGNTEEFYRLDMBH \
  | 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: bf39e167ae1149cc99b3210b88ac6c09e933b4b1a7c177fc11d5733f6f7b19a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db423bd1706659bff4dfb4ec14ed706266e5a49b807af3efa02c60f78ea44fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-07-11T06:37:00Z",
    "title_canon_sha256": "ba59f9fb6fe5e0c6df89f506dd3d8746fdb4eccdf848b80053bda3454bdecd0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2547",
    "kind": "arxiv",
    "version": 2
  }
}