Pith Number

pith:TVTNMIVI

pith:2012:TVTNMIVIKN2MYKWDK6W67I4UOP

not attested not anchored not stored refs pending

Reflexive functors of modules in Commutative Algebra

C. Sancho, J. Navarro, P. Sancho

arxiv:1203.6796 v3 · 2012-03-30 · math.AC · math.AG · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVTNMIVIKN2MYKWDK6W67I4UOP}

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	2026-05-18T03:09:34.222667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d66d622a85374cc2ac357adefa39473e35d5ca924c21e7734f1cc7748e7ae18

Aliases

arxiv: 1203.6796 · arxiv_version: 1203.6796v3 · doi: 10.48550/arxiv.1203.6796 · pith_short_12: TVTNMIVIKN2M · pith_short_16: TVTNMIVIKN2MYKWD · pith_short_8: TVTNMIVI

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/TVTNMIVIKN2MYKWDK6W67I4UOP \
  | 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: 9d66d622a85374cc2ac357adefa39473e35d5ca924c21e7734f1cc7748e7ae18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ec7204741382fb06a9bb3d9e5a19b8edd2a4b784bbfe3dd285280754ce90ed",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-30T12:56:12Z",
    "title_canon_sha256": "79b08816a0e721e3b7f7fd815ca00b840f5d3e137cf846bcbb47ef826525a5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6796",
    "kind": "arxiv",
    "version": 3
  }
}