Pith Number

pith:II4K3UCR

pith:2015:II4K3UCRE2CS56AI447RXEIHTH

not attested not anchored not stored refs pending

Well-quasi-ordering and finite distinguishing number

Aistis Atminas, Robert Brignall

arxiv:1512.05993 v4 · 2015-12-18 · 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{II4K3UCRE2CS56AI447RXEIHTH}

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	2026-05-17T23:46:32.206933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4238add05126852ef808e73f1b910799d044e980c9526d38804f4550621f92eb

Aliases

arxiv: 1512.05993 · arxiv_version: 1512.05993v4 · doi: 10.48550/arxiv.1512.05993 · pith_short_12: II4K3UCRE2CS · pith_short_16: II4K3UCRE2CS56AI · pith_short_8: II4K3UCR

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/II4K3UCRE2CS56AI447RXEIHTH \
  | 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: 4238add05126852ef808e73f1b910799d044e980c9526d38804f4550621f92eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ec8b13d44a3f5a95e92011a4ff37f9aa81824da0b2c988f9b7afc652fef4e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-18T15:35:31Z",
    "title_canon_sha256": "b61f396071eb8e5d1eb4916ce75b07804c582b31db48ccb6c3bf3906de7dbb2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05993",
    "kind": "arxiv",
    "version": 4
  }
}