Pith Number

pith:G5PVEJ3C

pith:2011:G5PVEJ3CAKCSVNTGXSGB4LUKEG

not attested not anchored not stored refs pending

Determining a rotation of a tetrahedron from a projection

Paolo Gronchi, Richard J. Gardner, Thorsten Theobald

arxiv:1111.7100 v2 · 2011-11-30 · math.MG · cs.CG · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5PVEJ3CAKCSVNTGXSGB4LUKEG}

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	2026-05-18T03:51:35.623747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375f52276202852ab666bc8c1e2e8a21a562172e9e0cf91d3980c65c91549c1f

Aliases

arxiv: 1111.7100 · arxiv_version: 1111.7100v2 · doi: 10.48550/arxiv.1111.7100 · pith_short_12: G5PVEJ3CAKCS · pith_short_16: G5PVEJ3CAKCSVNTG · pith_short_8: G5PVEJ3C

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/G5PVEJ3CAKCSVNTGXSGB4LUKEG \
  | 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: 375f52276202852ab666bc8c1e2e8a21a562172e9e0cf91d3980c65c91549c1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26b2e89f23cb2101813b28a4e92b437b74e85e1030ddb26f47da872c8cd7c4b",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-11-30T09:51:46Z",
    "title_canon_sha256": "ad374cc15f235712358c02037198ac40007ffa16274f0110356b967348a7759e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7100",
    "kind": "arxiv",
    "version": 2
  }
}