Pith Number

pith:YIEFYD5R

pith:2012:YIEFYD5RJ5TGWHLDS4LQ4PIUGX

not attested not anchored not stored refs pending

The Euler characteristic of a polyhedron as a valuation on its coordinate vector lattice

Andrea Pedrini

arxiv:1209.3248 v1 · 2012-09-14 · math.MG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIEFYD5RJ5TGWHLDS4LQ4PIUGX}

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	2026-05-18T03:45:32.416189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2085c0fb14f666b1d6397170e3d1435c0ff4e975630918f8ea6680b90a3b902

Aliases

arxiv: 1209.3248 · arxiv_version: 1209.3248v1 · doi: 10.48550/arxiv.1209.3248 · pith_short_12: YIEFYD5RJ5TG · pith_short_16: YIEFYD5RJ5TGWHLD · pith_short_8: YIEFYD5R

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/YIEFYD5RJ5TGWHLDS4LQ4PIUGX \
  | 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: c2085c0fb14f666b1d6397170e3d1435c0ff4e975630918f8ea6680b90a3b902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e61066937a77f20bae89c4c50037ec791d2b09eee44ecbe69078f1bbb02a878",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-14T16:18:20Z",
    "title_canon_sha256": "11b3676cf7e0c2bace078e5ff80ca241cbbd792dbf3c2daffb37d82c56666c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3248",
    "kind": "arxiv",
    "version": 1
  }
}