Pith Number

pith:547YOMAC

pith:2011:547YOMACG6I7QKUEXWY5BNIRNU

not attested not anchored not stored refs pending

Local cohomology properties of direct summands

Luis Nunez-Betancourt

arxiv:1108.4455 v2 · 2011-08-22 · 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{547YOMACG6I7QKUEXWY5BNIRNU}

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	2026-05-18T03:51:35.848669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef3f8730023791f82a84bdb1d0b5116d35d57e89eb98f5073eb8d87fc4364795

Aliases

arxiv: 1108.4455 · arxiv_version: 1108.4455v2 · doi: 10.48550/arxiv.1108.4455 · pith_short_12: 547YOMACG6I7 · pith_short_16: 547YOMACG6I7QKUE · pith_short_8: 547YOMAC

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/547YOMACG6I7QKUEXWY5BNIRNU \
  | 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: ef3f8730023791f82a84bdb1d0b5116d35d57e89eb98f5073eb8d87fc4364795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74d657d7a5d3639b37788ed754d556103d304dbbd27d3c863738e7195b40db31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-08-22T23:18:17Z",
    "title_canon_sha256": "44baee78660fbdb27db37ac3cb5679f82ace4040275f0d78a1c91580c37892c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4455",
    "kind": "arxiv",
    "version": 2
  }
}