Pith Number

pith:OBKMODUE

pith:2012:OBKMODUEJ6TAMNEE767FPOD4DQ

not attested not anchored not stored refs pending

Signed a-polynomials of graphs and Poincar\'e polynomials of real toric manifolds

Heesung Shin, Seunghyun Seo

arxiv:1212.6307 v1 · 2012-12-27 · math.CO · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBKMODUEJ6TAMNEE767FPOD4DQ}

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	2026-07-05T04:06:38.774601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7054c70e844fa6063484ffbe57b87c1c02028adc8284a91cda6af0464cea301f

Aliases

arxiv: 1212.6307 · arxiv_version: 1212.6307v1 · doi: 10.48550/arxiv.1212.6307 · pith_short_12: OBKMODUEJ6TA · pith_short_16: OBKMODUEJ6TAMNEE · pith_short_8: OBKMODUE

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/OBKMODUEJ6TAMNEE767FPOD4DQ \
  | 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: 7054c70e844fa6063484ffbe57b87c1c02028adc8284a91cda6af0464cea301f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb55fa80ab025d62f97eac5da7eff5e151e2ba09977f2774c65a3b91b5795cb",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-27T05:43:05Z",
    "title_canon_sha256": "504c0b73f56708bd8a70edabf3f30f9d934faef1986757581fa05f70987ca167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6307",
    "kind": "arxiv",
    "version": 1
  }
}