Pith Number

pith:C53BN3DU

pith:2019:C53BN3DUVM55YPAIAM3RBVOCWC

not attested not anchored not stored refs pending

New Invariants for Permutations, Orders and Graphs

Jean-Christophe Aval, John Machacek, Nantel Bergeron

arxiv:1908.04841 v1 · 2019-08-13 · 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{C53BN3DUVM55YPAIAM3RBVOCWC}

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	2026-07-05T01:39:10.733284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177616ec74ab3bdc3c08033710d5c2b0957830ce47c030581752dbd78fe6609a

Aliases

arxiv: 1908.04841 · arxiv_version: 1908.04841v1 · doi: 10.48550/arxiv.1908.04841 · pith_short_12: C53BN3DUVM55 · pith_short_16: C53BN3DUVM55YPAI · pith_short_8: C53BN3DU

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/C53BN3DUVM55YPAIAM3RBVOCWC \
  | 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: 177616ec74ab3bdc3c08033710d5c2b0957830ce47c030581752dbd78fe6609a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696767b852b7671010fade79fce353b8d20eb9dc6b62576582330e6e57a62ffb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-13T19:49:23Z",
    "title_canon_sha256": "d5ca86f71c10e03b7f19591d2cb2551c1742885e63716382c89005e79a71aa0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04841",
    "kind": "arxiv",
    "version": 1
  }
}