Pith Number

pith:EWPXMFKH

pith:2015:EWPXMFKHJD65G6VMEBRGPCVK6M

not attested not anchored not stored refs pending

A branching rule for partition complexes

Gregory Arone

arxiv:1508.05086 v2 · 2015-08-20 · math.AT · 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{EWPXMFKHJD65G6VMEBRGPCVK6M}

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	2026-05-18T01:34:32.595037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

259f76154748fdd37aac2062678aaaf31cf4151dd0ab959763f38b0aa04cc863

Aliases

arxiv: 1508.05086 · arxiv_version: 1508.05086v2 · doi: 10.48550/arxiv.1508.05086 · pith_short_12: EWPXMFKHJD65 · pith_short_16: EWPXMFKHJD65G6VM · pith_short_8: EWPXMFKH

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/EWPXMFKHJD65G6VMEBRGPCVK6M \
  | 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: 259f76154748fdd37aac2062678aaaf31cf4151dd0ab959763f38b0aa04cc863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc63e5d10cfef0a5a40f9db910052d7b173995c5e2368a85fb8a66386d43cb8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-08-20T19:51:19Z",
    "title_canon_sha256": "0a370dd0cac7a3996bd377bdc442c8d1f3ace271e9b9b05fab749ac1169c7522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05086",
    "kind": "arxiv",
    "version": 2
  }
}