Pith Number

pith:4SM2YJIU

pith:2017:4SM2YJIUZZZLFIGR6AJZ3GGU2P

not attested not anchored not stored refs pending

Spectra of Digraph Transformations

Aiping Deng, Alexander Kelmans

arxiv:1707.00401 v1 · 2017-07-03 · 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{4SM2YJIUZZZLFIGR6AJZ3GGU2P}

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	2026-05-18T00:41:03.500511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e499ac2514ce72b2a0d1f0139d98d4d3cd55ada8c748ab72e4c4e10d52f0d6cb

Aliases

arxiv: 1707.00401 · arxiv_version: 1707.00401v1 · doi: 10.48550/arxiv.1707.00401 · pith_short_12: 4SM2YJIUZZZL · pith_short_16: 4SM2YJIUZZZLFIGR · pith_short_8: 4SM2YJIU

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/4SM2YJIUZZZLFIGR6AJZ3GGU2P \
  | 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: e499ac2514ce72b2a0d1f0139d98d4d3cd55ada8c748ab72e4c4e10d52f0d6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "057c7e1d33761880f3421651df537ff4e702835424694b9b1e879d112e7590cd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-03T04:47:05Z",
    "title_canon_sha256": "fb7571a33d58d8b4835686d5935f9fad91b820790943ab1c9525d5270acb987f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00401",
    "kind": "arxiv",
    "version": 1
  }
}