Pith Number

pith:F6K7A3XQ

pith:2007:F6K7A3XQMEJ532JE5RC2LEOC3V

not attested not anchored not stored refs pending

Some notes on the equivalence of first-order rigidity in various geometries

Franco V. Saliola, Walter Whiteley

arxiv:0709.3354 v1 · 2007-09-21 · 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{F6K7A3XQMEJ532JE5RC2LEOC3V}

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	2026-07-04T15:04:25.488392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f95f06ef06113dde924ec45a591c2dd649bfd68fee5682264a9250457a5d650

Aliases

arxiv: 0709.3354 · arxiv_version: 0709.3354v1 · doi: 10.48550/arxiv.0709.3354 · pith_short_12: F6K7A3XQMEJ5 · pith_short_16: F6K7A3XQMEJ532JE · pith_short_8: F6K7A3XQ

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/F6K7A3XQMEJ532JE5RC2LEOC3V \
  | 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: 2f95f06ef06113dde924ec45a591c2dd649bfd68fee5682264a9250457a5d650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "090a34020f10b73712630abd4ff73b297ab75c7479e2cf3195b0c32e8d38cec9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2007-09-21T05:37:16Z",
    "title_canon_sha256": "533f2dc388c4895db4607f1c9312ecbb269a28d06655a26c65873a9b58bc6d36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3354",
    "kind": "arxiv",
    "version": 1
  }
}