Pith Number

pith:DNWIR3GB

pith:2013:DNWIR3GB3KTHKYT4QZRZQOPPYQ

not attested not anchored not stored refs pending

A criterion for I-adic completeness

Peter Schenzel

arxiv:1312.3908 v1 · 2013-12-13 · 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{DNWIR3GB3KTHKYT4QZRZQOPPYQ}

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	2026-05-18T03:04:47.154222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b6c88ecc1daa675627c86639839efc40a188714954d4dcaa85940562bb53aab

Aliases

arxiv: 1312.3908 · arxiv_version: 1312.3908v1 · doi: 10.48550/arxiv.1312.3908 · pith_short_12: DNWIR3GB3KTH · pith_short_16: DNWIR3GB3KTHKYT4 · pith_short_8: DNWIR3GB

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/DNWIR3GB3KTHKYT4QZRZQOPPYQ \
  | 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: 1b6c88ecc1daa675627c86639839efc40a188714954d4dcaa85940562bb53aab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4937f3f07d82f269eb7bd25e9939d1c435410c236ba7ee07cedd7c9602703f2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-12-13T19:14:22Z",
    "title_canon_sha256": "ee31a17c0a6266ecc2a63fd21039d9818af460a8ba8212d36d1f0d33dff583e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3908",
    "kind": "arxiv",
    "version": 1
  }
}