Pith Number

pith:OMRME2YR

pith:2015:OMRME2YRKFXK4FQTWCB7BHK2G2

not attested not anchored not stored refs pending

Finite phylogenetic complexity of $Z_p$ and invariants for $Z_3$

Mateusz Micha{\l}ek

arxiv:1508.04177 v2 · 2015-08-17 · math.CO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMRME2YRKFXK4FQTWCB7BHK2G2}

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	2026-05-18T01:08:26.458154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7322c26b11516eae1613b083f09d5a36881c5ad68a7f974d463a239462d10913

Aliases

arxiv: 1508.04177 · arxiv_version: 1508.04177v2 · doi: 10.48550/arxiv.1508.04177 · pith_short_12: OMRME2YRKFXK · pith_short_16: OMRME2YRKFXK4FQT · pith_short_8: OMRME2YR

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/OMRME2YRKFXK4FQTWCB7BHK2G2 \
  | 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: 7322c26b11516eae1613b083f09d5a36881c5ad68a7f974d463a239462d10913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c8c338b391c452670d1a6d1c7cc287851ced0c6fa135141a59719c0917d2ee",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-17T23:30:19Z",
    "title_canon_sha256": "000461f5308ce4ca2ec3ef348e2698c11b4ff20831da605d125129999dc31a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04177",
    "kind": "arxiv",
    "version": 2
  }
}