Pith Number

pith:LMKHOEAU

pith:2013:LMKHOEAUEWJ3OYHB4WF3I2EU5P

not attested not anchored not stored refs pending

The unreasonable ubiquitousness of quasi-polynomials

Kevin Woods

arxiv:1308.4694 v2 · 2013-08-21 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMKHOEAUEWJ3OYHB4WF3I2EU5P}

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	2026-05-18T02:57:26.594414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b147710142593b760e1e58bb46894ebff0a8a18e51a5b3eedc464705d5aef78

Aliases

arxiv: 1308.4694 · arxiv_version: 1308.4694v2 · doi: 10.48550/arxiv.1308.4694 · pith_short_12: LMKHOEAUEWJ3 · pith_short_16: LMKHOEAUEWJ3OYHB · pith_short_8: LMKHOEAU

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/LMKHOEAUEWJ3OYHB4WF3I2EU5P \
  | 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: 5b147710142593b760e1e58bb46894ebff0a8a18e51a5b3eedc464705d5aef78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3bc912194324bfbd8a5e3274ee5a9cfba6a761ae5394aa309a536329a6592a6",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-21T20:10:28Z",
    "title_canon_sha256": "2d5a2e912e1a56ad312c8bc76b6a798c8c2344a32172a0c669666dff5c107cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4694",
    "kind": "arxiv",
    "version": 2
  }
}