Pith Number

pith:WXC6LQ26

pith:2012:WXC6LQ26IC76DZXTAEHMP3YVFG

not attested not anchored not stored refs pending

Topological Symmetry Groups for Small Complete Graphs

Dwayne Chambers, Erica Flapan

arxiv:1212.5964 v2 · 2012-12-24 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXC6LQ26IC76DZXTAEHMP3YVFG}

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	2026-05-18T02:59:06.368298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c5e5c35e40bfe1e6f3010ec7ef1529b8a2a009ac92dfad071b6b14482b9487

Aliases

arxiv: 1212.5964 · arxiv_version: 1212.5964v2 · doi: 10.48550/arxiv.1212.5964 · pith_short_12: WXC6LQ26IC76 · pith_short_16: WXC6LQ26IC76DZXT · pith_short_8: WXC6LQ26

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/WXC6LQ26IC76DZXTAEHMP3YVFG \
  | 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: b5c5e5c35e40bfe1e6f3010ec7ef1529b8a2a009ac92dfad071b6b14482b9487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "342abc8ea2e581e1fbc1f266e302353a67107d4a09598039b25dca735427fa49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-24T21:15:04Z",
    "title_canon_sha256": "8610890874b1e593158562d0158e19d1b4aa2dc9fe316b16b97f4c714c94f550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5964",
    "kind": "arxiv",
    "version": 2
  }
}