Pith Number

pith:OSVFS7VK

pith:2011:OSVFS7VKR4R4W42N7BY2MIW55C

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

arxiv:1102.2645 v2 · 2011-02-13 · 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{OSVFS7VKR4R4W42N7BY2MIW55C}

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	2026-05-18T04:24:07.009055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74aa597eaa8f23cb734df871a622dde88c9dcd0b8143885f2b8567f01c3455ac

Aliases

arxiv: 1102.2645 · arxiv_version: 1102.2645v2 · doi: 10.48550/arxiv.1102.2645 · pith_short_12: OSVFS7VKR4R4 · pith_short_16: OSVFS7VKR4R4W42N · pith_short_8: OSVFS7VK

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/OSVFS7VKR4R4W42N7BY2MIW55C \
  | 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: 74aa597eaa8f23cb734df871a622dde88c9dcd0b8143885f2b8567f01c3455ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11bb1c272a57e72d90fa4ec5f2f2c401579ee7ebf852b07ef05c65cd2da8bcc5",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-13T23:44:10Z",
    "title_canon_sha256": "a71be3f5a6e42483d6a3d9302a1efe7a0716da4f6dc1fe1ffee82bd02ec9ace9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2645",
    "kind": "arxiv",
    "version": 2
  }
}