Pith Number

pith:ERPYLWMN

pith:2013:ERPYLWMNX45HAKU3XRCUFZPYRQ

not attested not anchored not stored refs pending

A somewhat gentle introduction to differential graded commutative algebra

Kristen A. Beck, Sean Sather-Wagstaff

arxiv:1307.0369 v1 · 2013-07-01 · 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{ERPYLWMNX45HAKU3XRCUFZPYRQ}

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.

Cited by

1 paper in Pith

DG-Sensitive Pruning & a Complete Classification of DG Trees and Cycles

Receipt and verification

First computed	2026-05-18T03:19:33.563233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

245f85d98dbf3a702a9bbc4542e5f88c23edb3cff25c5291989ac5525956ba80

Aliases

arxiv: 1307.0369 · arxiv_version: 1307.0369v1 · doi: 10.48550/arxiv.1307.0369 · pith_short_12: ERPYLWMNX45H · pith_short_16: ERPYLWMNX45HAKU3 · pith_short_8: ERPYLWMN

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/ERPYLWMNX45HAKU3XRCUFZPYRQ \
  | 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: 245f85d98dbf3a702a9bbc4542e5f88c23edb3cff25c5291989ac5525956ba80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed07611ca6f62ed9bce713e5fb8bcdfc51d9124458d3fc8aa982c11c5c7020d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-01T13:55:26Z",
    "title_canon_sha256": "84800feed5e9db47cec7e2033a87a1730954d9c2c40324c2db11b2ee08b2cb09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0369",
    "kind": "arxiv",
    "version": 1
  }
}