Pith Number

pith:XXTZMSAN

pith:2010:XXTZMSANFXZWVOMNA55NHPTUGF

not attested not anchored not stored refs pending

Decompositions of functions based on arity gap

Erkko Lehtonen, Miguel Couceiro, Tam\'as Waldhauser

arxiv:1003.1294 v1 · 2010-03-05 · 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{XXTZMSANFXZWVOMNA55NHPTUGF}

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	2026-05-18T00:57:38.744481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bde796480d2df36ab98d077ad3be743147d97dd143273fd8ec19b049f91fbb1a

Aliases

arxiv: 1003.1294 · arxiv_version: 1003.1294v1 · doi: 10.48550/arxiv.1003.1294 · pith_short_12: XXTZMSANFXZW · pith_short_16: XXTZMSANFXZWVOMN · pith_short_8: XXTZMSAN

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/XXTZMSANFXZWVOMNA55NHPTUGF \
  | 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: bde796480d2df36ab98d077ad3be743147d97dd143273fd8ec19b049f91fbb1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff502146555b1289e733652f13019e68e14edcd262cb696e0de911d4b802bd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-05T15:44:35Z",
    "title_canon_sha256": "65bf2988fa7982f1d1da091aaf339dc08a7b0bfcdbee661d0b545b71a3486326"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1294",
    "kind": "arxiv",
    "version": 1
  }
}