Pith Number

pith:P4PF5J3O

pith:2017:P4PF5J3O6F536SK7CHH4PI323L

not attested not anchored not stored refs pending

Extensions and Applications of Equitable Decompositions for Graphs with Symmetries

Amanda Francis, Ben Webb, Dallas Smith, Derek Sorenson

arxiv:1702.00796 v2 · 2017-02-02 · 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{P4PF5J3O6F536SK7CHH4PI323L}

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	2026-05-18T00:39:12.702557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1e5ea76ef17bbf495f11cfc7a37adaeb32c49d9dadd7b6e27781d51075bfde

Aliases

arxiv: 1702.00796 · arxiv_version: 1702.00796v2 · doi: 10.48550/arxiv.1702.00796 · pith_short_12: P4PF5J3O6F53 · pith_short_16: P4PF5J3O6F536SK7 · pith_short_8: P4PF5J3O

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/P4PF5J3O6F536SK7CHH4PI323L \
  | 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: 7f1e5ea76ef17bbf495f11cfc7a37adaeb32c49d9dadd7b6e27781d51075bfde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ca3fd8ca3f2de3d310c735e34b6e3b327032dc9dcc799c05adb8e78eb7aab8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-02T19:00:43Z",
    "title_canon_sha256": "ce59604d77693e3a9b2e60a8f9378c4f0f1545be2121d164ed802bc9f80447fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00796",
    "kind": "arxiv",
    "version": 2
  }
}