Pith Number

pith:V6J4KO56

pith:2010:V6J4KO564Y5PJ2LDWWDRVVT7UX

not attested not anchored not stored refs pending

Depth of edge rings arising from finite graphs

Akihiro Higashitani, Augustine B. O'Keefe, Kyouko Kimura, Takayuki Hibi

arxiv:1009.1472 v1 · 2010-09-08 · 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{V6J4KO564Y5PJ2LDWWDRVVT7UX}

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	2026-05-18T04:41:14.714434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af93c53bbee63af4e963b5871ad67fa5cccac130e4584536724b965fdf136823

Aliases

arxiv: 1009.1472 · arxiv_version: 1009.1472v1 · doi: 10.48550/arxiv.1009.1472 · pith_short_12: V6J4KO564Y5P · pith_short_16: V6J4KO564Y5PJ2LD · pith_short_8: V6J4KO56

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/V6J4KO564Y5PJ2LDWWDRVVT7UX \
  | 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: af93c53bbee63af4e963b5871ad67fa5cccac130e4584536724b965fdf136823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dfe94e50b851b2f62ea63b5735f5d7c8b7b4cc9c54a1f78d2e1d09da00444d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-08T08:02:11Z",
    "title_canon_sha256": "b5ae0e0c530d20343b7d0740f322749b3ed5acedf10e503f86de06cf190e1cf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1472",
    "kind": "arxiv",
    "version": 1
  }
}