Pith Number

pith:BMIX4F4Y

pith:2008:BMIX4F4YKJBV6XG6VRHKD7R4YR

not attested not anchored not stored refs pending

Dualizing complex of a toric face ring

Kohji Yanagawa, Ryota Okazaki

arxiv:0809.0095 v1 · 2008-08-31 · 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{BMIX4F4YKJBV6XG6VRHKD7R4YR}

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

Parametric Resonance of Higgsed Vector Dark Matter: Inflationary Initial Conditions and Sourced Displacements

Receipt and verification

First computed	2026-07-04T15:13:59.134131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b117e179852435f5cdeac4ea1fe3cc47c2ece907da7678d66ef0357c78cdfb6

Aliases

arxiv: 0809.0095 · arxiv_version: 0809.0095v1 · doi: 10.48550/arxiv.0809.0095 · pith_short_12: BMIX4F4YKJBV · pith_short_16: BMIX4F4YKJBV6XG6 · pith_short_8: BMIX4F4Y

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/BMIX4F4YKJBV6XG6VRHKD7R4YR \
  | 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: 0b117e179852435f5cdeac4ea1fe3cc47c2ece907da7678d66ef0357c78cdfb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e686720d3fe91363490d0e9282caa466b63020a2270e1a7e12292efd5eb9a2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-08-31T10:55:44Z",
    "title_canon_sha256": "166baec007e644001bc3fe6f30b8168f719dc8f3d95110b984843140f5553e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0095",
    "kind": "arxiv",
    "version": 1
  }
}