Pith Number

pith:SYPIW7KI

pith:2012:SYPIW7KIQE63NKGAH33WW5WDZF

not attested not anchored not stored refs pending

Symmetric Graphicahedra

Deborah Oliveros, Egon Schulte, Isabel Hubard, Maria Del Rio-Francos

arxiv:1206.5420 v1 · 2012-06-23 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYPIW7KIQE63NKGAH33WW5WDZF}

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	2026-05-18T03:52:40.163477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

961e8b7d48813db6a8c03ef76b76c3c97d7c4aaa213446ed8f1b7743f81d9b51

Aliases

arxiv: 1206.5420 · arxiv_version: 1206.5420v1 · doi: 10.48550/arxiv.1206.5420 · pith_short_12: SYPIW7KIQE63 · pith_short_16: SYPIW7KIQE63NKGA · pith_short_8: SYPIW7KI

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/SYPIW7KIQE63NKGAH33WW5WDZF \
  | 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: 961e8b7d48813db6a8c03ef76b76c3c97d7c4aaa213446ed8f1b7743f81d9b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "926325df2c9ace8b5c244e6010f942330797ae817e3b11bd28c78763e62e0c21",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-23T18:14:23Z",
    "title_canon_sha256": "f260f127a3be093187acaf3a79f35d191589a92f6da7064e524838a30dd7fc33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5420",
    "kind": "arxiv",
    "version": 1
  }
}