Pith Number

pith:UBVQ6KMX

pith:2015:UBVQ6KMXFHP2ACWJAAYM4VVFHN

not attested not anchored not stored refs pending

Rigidity of frameworks on expanding spheres

Anthony Nixon, Bernd Schulze, Shin-ichi Tanigawa, Walter Whiteley

arxiv:1501.01391 v2 · 2015-01-07 · math.MG · 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{UBVQ6KMXFHP2ACWJAAYM4VVFHN}

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	2026-05-18T00:50:57.915129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a06b0f299729dfa00ac90030ce56a53b63bb9ef069f2ba277488c18ca77ca807

Aliases

arxiv: 1501.01391 · arxiv_version: 1501.01391v2 · doi: 10.48550/arxiv.1501.01391 · pith_short_12: UBVQ6KMXFHP2 · pith_short_16: UBVQ6KMXFHP2ACWJ · pith_short_8: UBVQ6KMX

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/UBVQ6KMXFHP2ACWJAAYM4VVFHN \
  | 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: a06b0f299729dfa00ac90030ce56a53b63bb9ef069f2ba277488c18ca77ca807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f61fbf6f04e27065994121b91eec89c6f31862060321a81da4fa27b9f132c579",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-01-07T08:32:47Z",
    "title_canon_sha256": "c061a1908054171cd7cdd9236bba3a06bfce4d8ca1844c4c1817cafe5406b289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01391",
    "kind": "arxiv",
    "version": 2
  }
}