Pith Number

pith:C4FNT5IF

pith:2008:C4FNT5IF4POEGKDAWV5BPRD3PN

not attested not anchored not stored refs pending

Frameworks, Symmetry and Rigidity

J. C. Owen, S. C. Power

arxiv:0812.3785 v2 · 2008-12-19 · math.MG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4FNT5IF4POEGKDAWV5BPRD3PN}

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	2026-05-18T04:40:34.144202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170ad9f505e3dc432860b57a17c47b7b411cfb3b4da380f4497cc17f92d7e6bd

Aliases

arxiv: 0812.3785 · arxiv_version: 0812.3785v2 · doi: 10.48550/arxiv.0812.3785 · pith_short_12: C4FNT5IF4POE · pith_short_16: C4FNT5IF4POEGKDA · pith_short_8: C4FNT5IF

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/C4FNT5IF4POEGKDAWV5BPRD3PN \
  | 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: 170ad9f505e3dc432860b57a17c47b7b411cfb3b4da380f4497cc17f92d7e6bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1253bc35fe6b8fbdf89c82bbe8d4990c9778452ef7e9711f79a9eaaf2fcde29c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2008-12-19T13:56:58Z",
    "title_canon_sha256": "255e299d2350d0ac4600c48f08c66de951f1744ec64ef4c4ef8c7c7da2f46148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3785",
    "kind": "arxiv",
    "version": 2
  }
}