Pith Number

pith:VZWEAD57

pith:2010:VZWEAD57SDZ7FHDRGYU7WYXXHT

not attested not anchored not stored refs pending

Polynomial parametrizations of length $4$ B\"uchi sequences

Xavier Vidaux

arxiv:1008.2994 v1 · 2010-08-18 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZWEAD57SDZ7FHDRGYU7WYXXHT}

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	2026-05-18T04:42:03.763856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae6c400fbf90f3f29c713629fb62f73ce0acef8b156eac1c6f00683e4a5926fb

Aliases

arxiv: 1008.2994 · arxiv_version: 1008.2994v1 · doi: 10.48550/arxiv.1008.2994 · pith_short_12: VZWEAD57SDZ7 · pith_short_16: VZWEAD57SDZ7FHDR · pith_short_8: VZWEAD57

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/VZWEAD57SDZ7FHDRGYU7WYXXHT \
  | 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: ae6c400fbf90f3f29c713629fb62f73ce0acef8b156eac1c6f00683e4a5926fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d121d20c57bd5f8a52455ff15bfd27c2a4c9673b80dba2c8a9a48bb4478b061",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-18T01:35:12Z",
    "title_canon_sha256": "1f8dec455bfd6110b45e4a94fba7251e9805328c9e79f9d4bb3e70936373ef11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2994",
    "kind": "arxiv",
    "version": 1
  }
}