Pith Number

pith:GD3Z55ZI

pith:2012:GD3Z55ZIRESNWIQ6WU7ZQ5ZW4Y

not attested not anchored not stored refs pending

Generic rigidity with forced symmetry and sparse colored graphs

Justin Malestein, Louis Theran

arxiv:1203.0772 v1 · 2012-03-04 · math.GT · 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{GD3Z55ZIRESNWIQ6WU7ZQ5ZW4Y}

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	2026-05-18T04:00:50.566030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f79ef7288924db221eb53f987736e61db106b2fdc495103b59f7ee7b711353

Aliases

arxiv: 1203.0772 · arxiv_version: 1203.0772v1 · doi: 10.48550/arxiv.1203.0772 · pith_short_12: GD3Z55ZIRESN · pith_short_16: GD3Z55ZIRESNWIQ6 · pith_short_8: GD3Z55ZI

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/GD3Z55ZIRESNWIQ6WU7ZQ5ZW4Y \
  | 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: 30f79ef7288924db221eb53f987736e61db106b2fdc495103b59f7ee7b711353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10922adf7ce94d65b9f06940d63cdb9ea2924db935e5dcd648ad95dca98eef53",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-04T21:07:30Z",
    "title_canon_sha256": "9b108deb7baef5950ce5b8a0445d8c15271b7bcbad790b32b97213fe4f3b818a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0772",
    "kind": "arxiv",
    "version": 1
  }
}