Pith Number

pith:34TIY2M4

pith:2011:34TIY2M4IBE23O446WHJM5ISZJ

not attested not anchored not stored refs pending

Vertex unfoldings of tight polyhedra

Toshiki Endo, Yuki Suzuki

arxiv:1109.0001 v3 · 2011-08-31 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34TIY2M4IBE23O446WHJM5ISZJ}

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	2026-05-18T03:33:26.599895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df268c699c4049adbb9cf58e967512ca58dc9217fb58c2ce721778c5452f8bb8

Aliases

arxiv: 1109.0001 · arxiv_version: 1109.0001v3 · doi: 10.48550/arxiv.1109.0001 · pith_short_12: 34TIY2M4IBE2 · pith_short_16: 34TIY2M4IBE23O44 · pith_short_8: 34TIY2M4

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/34TIY2M4IBE23O446WHJM5ISZJ \
  | 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: df268c699c4049adbb9cf58e967512ca58dc9217fb58c2ce721778c5452f8bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bfabcd89163e489a1b00f8530ec9bdf10034445af01d627876a173360f21d4d",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-31T12:55:17Z",
    "title_canon_sha256": "de56ad13ad5c3ff2fdd7a6618ccec86bab0062e9c0dd4b4382445485620d5bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0001",
    "kind": "arxiv",
    "version": 3
  }
}