Pith Number

pith:CWABU4N2

pith:2007:CWABU4N2QPK4IMU337YMXQI5YO

not attested not anchored not stored refs pending

Powers of sequences and recurrence

Emmanuel Lesigne, Mate Wierdl, Nikos Frantzikinakis

arxiv:0711.3159 v2 · 2007-11-20 · math.DS · 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{CWABU4N2QPK4IMU337YMXQI5YO}

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	2026-05-18T02:58:12.046898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15801a71ba83d5c4329bdff0cbc11dc3beebe31c989d83968ecca659dfd2d8e6

Aliases

arxiv: 0711.3159 · arxiv_version: 0711.3159v2 · doi: 10.48550/arxiv.0711.3159 · pith_short_12: CWABU4N2QPK4 · pith_short_16: CWABU4N2QPK4IMU3 · pith_short_8: CWABU4N2

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/CWABU4N2QPK4IMU337YMXQI5YO \
  | 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: 15801a71ba83d5c4329bdff0cbc11dc3beebe31c989d83968ecca659dfd2d8e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce9167e102b865568492aa60f5481a221bac4c90b9c17a1705a0ec9bdd155432",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2007-11-20T15:25:52Z",
    "title_canon_sha256": "09ec57fc1e84662a3ee763bd5f0e4722a0fe9585e012ab8e7ca461907341270b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3159",
    "kind": "arxiv",
    "version": 2
  }
}