Pith Number

pith:VO5MXU5R

pith:2011:VO5MXU5RLQGJTKPNIZJCPVLD6T

not attested not anchored not stored refs pending

Embedding a pair of graphs in a surface, and the width of 4-dimensional prismatoids

Francisco Santos, Hugh Thomas, Tamon Stephen

arxiv:1104.2630 v1 · 2011-04-13 · 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{VO5MXU5RLQGJTKPNIZJCPVLD6T}

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	2026-05-18T04:01:26.332622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abbacbd3b15c0c99a9ed465227d563f4edee8249fbf1fc3a027aa2bfa49bea0a

Aliases

arxiv: 1104.2630 · arxiv_version: 1104.2630v1 · doi: 10.48550/arxiv.1104.2630 · pith_short_12: VO5MXU5RLQGJ · pith_short_16: VO5MXU5RLQGJTKPN · pith_short_8: VO5MXU5R

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/VO5MXU5RLQGJTKPNIZJCPVLD6T \
  | 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: abbacbd3b15c0c99a9ed465227d563f4edee8249fbf1fc3a027aa2bfa49bea0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b29545152edc2a334fe2a4c519c9df45497d898a522fb40537d9726f25da18b1",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-13T21:56:22Z",
    "title_canon_sha256": "a71be3f5a6e42483d6a3d9302a1efe7a0716da4f6dc1fe1ffee82bd02ec9ace9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2630",
    "kind": "arxiv",
    "version": 1
  }
}