Pith Number

pith:3BJBXGS6

pith:2013:3BJBXGS6OFGFFQBPQ5IK4ADXFT

not attested not anchored not stored refs pending

Graph Automorphisms from the Geometric Viewpoint

Wen-Xue Du, Yi-Zheng Fan

arxiv:1312.2778 v1 · 2013-12-10 · 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{3BJBXGS6OFGFFQBPQ5IK4ADXFT}

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	2026-05-18T03:05:08.856689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8521b9a5e714c52c02f8750ae00772cce4f0454146da12616a9287ff3fd98a4

Aliases

arxiv: 1312.2778 · arxiv_version: 1312.2778v1 · doi: 10.48550/arxiv.1312.2778 · pith_short_12: 3BJBXGS6OFGF · pith_short_16: 3BJBXGS6OFGFFQBP · pith_short_8: 3BJBXGS6

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/3BJBXGS6OFGFFQBPQ5IK4ADXFT \
  | 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: d8521b9a5e714c52c02f8750ae00772cce4f0454146da12616a9287ff3fd98a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40518b59c887ec218065f7a8cb82f21192d53294b2f1a58a5e82c057cbbd9f11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-10T12:25:43Z",
    "title_canon_sha256": "2128c1bd91e4cff64c246a3169d11638e3417bf1c0650528d54ba11b8d38beb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2778",
    "kind": "arxiv",
    "version": 1
  }
}