Pith Number

pith:642MH4EW

pith:2012:642MH4EWCH4GS4HXAWGVW6WYSS

not attested not anchored not stored refs pending

Smooth Fano Polytopes With Many Vertices

Andreas Paffenholz, Benjamin Assarf, Michael Joswig

arxiv:1209.3186 v3 · 2012-09-14 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{642MH4EWCH4GS4HXAWGVW6WYSS}

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	2026-05-18T01:36:07.539573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f734c3f09611f86970f7058d5b7ad894ac49e8fa8b5c7543997010700803c8d8

Aliases

arxiv: 1209.3186 · arxiv_version: 1209.3186v3 · doi: 10.48550/arxiv.1209.3186 · pith_short_12: 642MH4EWCH4G · pith_short_16: 642MH4EWCH4GS4HX · pith_short_8: 642MH4EW

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/642MH4EWCH4GS4HXAWGVW6WYSS \
  | 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: f734c3f09611f86970f7058d5b7ad894ac49e8fa8b5c7543997010700803c8d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b90b8dd83dba71b0d125d50c1e62e5aa4798cd0c382359a0f5697109d6e90f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-14T13:35:37Z",
    "title_canon_sha256": "601aa0d8c480926bb0aa24bd53bfe1529c235b8c1fd2e91688dc84cb9a07631b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3186",
    "kind": "arxiv",
    "version": 3
  }
}