Pith Number

pith:7RFLKCJF

pith:2011:7RFLKCJFWSGOQ3NBUCNZYQ6T3F

not attested not anchored not stored refs pending

Generic rigidity of frameworks with orientation-preserving crystallographic symmetry

Justin Malestein, Louis Theran

arxiv:1108.2518 v2 · 2011-08-11 · 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{7RFLKCJFWSGOQ3NBUCNZYQ6T3F}

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	2026-05-18T02:21:42.072986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc4ab50925b48ce86da1a09b9c43d3d95b171dc58bbc0c2acc40d86b99807a74

Aliases

arxiv: 1108.2518 · arxiv_version: 1108.2518v2 · doi: 10.48550/arxiv.1108.2518 · pith_short_12: 7RFLKCJFWSGO · pith_short_16: 7RFLKCJFWSGOQ3NB · pith_short_8: 7RFLKCJF

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/7RFLKCJFWSGOQ3NBUCNZYQ6T3F \
  | 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: fc4ab50925b48ce86da1a09b9c43d3d95b171dc58bbc0c2acc40d86b99807a74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48080e3409df82e36fc3a3638239684ab8e9bd4d4c02010462b532030636f1bb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-11T20:56:02Z",
    "title_canon_sha256": "046864387b5e32b27ad072007a9c270859f6c6dd19abb3e413b323f206c122dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2518",
    "kind": "arxiv",
    "version": 2
  }
}