Pith Number

pith:6OTEMTWA

pith:2012:6OTEMTWA57D4T3AIFAFRZJV4PC

not attested not anchored not stored refs pending

Isomorphisms, automorphisms, and generalized involution models

Eric Marberg, Fabrizio Caselli

arxiv:1208.6336 v1 · 2012-08-31 · 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{6OTEMTWA57D4T3AIFAFRZJV4PC}

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	2026-05-18T02:48:47.266096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a6464ec0efc7c9ec08280b1ca6bc78b5d760c2a198b700a642b90b642647e8

Aliases

arxiv: 1208.6336 · arxiv_version: 1208.6336v1 · doi: 10.48550/arxiv.1208.6336 · pith_short_12: 6OTEMTWA57D4 · pith_short_16: 6OTEMTWA57D4T3AI · pith_short_8: 6OTEMTWA

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/6OTEMTWA57D4T3AIFAFRZJV4PC \
  | 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: f3a6464ec0efc7c9ec08280b1ca6bc78b5d760c2a198b700a642b90b642647e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a919e84fe52a9e8c5f0dd3945e29739ec253524a070c4ee282ac89b0646cea6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-31T00:02:18Z",
    "title_canon_sha256": "2aa1e450cd8b95d42d820ebb32eb4170f0f346cc77e750e66bae45b2c47b765f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6336",
    "kind": "arxiv",
    "version": 1
  }
}