Pith Number

pith:J4SJNE2K

pith:2013:J4SJNE2K7VJ6EXXOW6DA5GFJSS

not attested not anchored not stored refs pending

Linear flags and Koszul filtrations

J\"urgen Herzog, Takayuki Hibi, Viviana Ene

arxiv:1312.2190 v1 · 2013-12-08 · 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{J4SJNE2K7VJ6EXXOW6DA5GFJSS}

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	2026-05-18T01:28:06.107956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2496934afd53e25eeeb7860e98a9948bb058aa1dfe582ae98c85f5461068e5

Aliases

arxiv: 1312.2190 · arxiv_version: 1312.2190v1 · doi: 10.48550/arxiv.1312.2190 · pith_short_12: J4SJNE2K7VJ6 · pith_short_16: J4SJNE2K7VJ6EXXO · pith_short_8: J4SJNE2K

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/J4SJNE2K7VJ6EXXOW6DA5GFJSS \
  | 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: 4f2496934afd53e25eeeb7860e98a9948bb058aa1dfe582ae98c85f5461068e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427cf1bdff7b3e682d44e12a5cfdbc61559a77476047e184a253b3c6d93e4c97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-12-08T10:55:39Z",
    "title_canon_sha256": "a6038ebcca30a0e4928954d1c5813306b2ff539200645a89526d158641f721e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2190",
    "kind": "arxiv",
    "version": 1
  }
}