Pith Number

pith:4VDXFHXF

pith:2012:4VDXFHXFXTW3QHMKW7JSUEPRFM

not attested not anchored not stored refs pending

Quotients of Koszul algebras and 2-d-determined algebras

Christopher Phan, Thomas Cassidy

arxiv:1210.3847 v1 · 2012-10-14 · 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{4VDXFHXFXTW3QHMKW7JSUEPRFM}

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	2026-05-18T03:43:16.967429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e547729ee5bcedb81d8ab7d32a11f12b1e4e8a05b7a74eb2643be92f84f7e2cf

Aliases

arxiv: 1210.3847 · arxiv_version: 1210.3847v1 · doi: 10.48550/arxiv.1210.3847 · pith_short_12: 4VDXFHXFXTW3 · pith_short_16: 4VDXFHXFXTW3QHMK · pith_short_8: 4VDXFHXF

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/4VDXFHXFXTW3QHMKW7JSUEPRFM \
  | 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: e547729ee5bcedb81d8ab7d32a11f12b1e4e8a05b7a74eb2643be92f84f7e2cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26592f9d798f0e7c061fccf3ba2357638a2245208705a371db44d8447f50ab99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-10-14T21:42:14Z",
    "title_canon_sha256": "c11a48e9f318ada0561f3671e37179fd6b5d69f7178de76f5b4c9cfe059ce83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3847",
    "kind": "arxiv",
    "version": 1
  }
}