Pith Number

pith:RQCPLFCU

pith:2010:RQCPLFCUWAJNMULQXWQJMPHNL7

not attested not anchored not stored refs pending

Multiple recurrence and convergence along the primes

Tamar D. Ziegler, Trevor D. Wooley

arxiv:1001.4081 v2 · 2010-01-22 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQCPLFCUWAJNMULQXWQJMPHNL7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:56:00.235022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c04f59454b012d65170bda0963ced5fc863f9ed65cfb980a18d879ea3ea7b7a

Aliases

arxiv: 1001.4081 · arxiv_version: 1001.4081v2 · doi: 10.48550/arxiv.1001.4081 · pith_short_12: RQCPLFCUWAJN · pith_short_16: RQCPLFCUWAJNMULQ · pith_short_8: RQCPLFCU

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/RQCPLFCUWAJNMULQXWQJMPHNL7 \
  | 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: 8c04f59454b012d65170bda0963ced5fc863f9ed65cfb980a18d879ea3ea7b7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be904c984a462423be80780c5da70d05324be7e37e720de57c0fa59143e7976",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-01-22T21:18:47Z",
    "title_canon_sha256": "e592a8f1dc261d3ad31fe48d4b6ff9990455be43388bac5e8dbbeb52b1761d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4081",
    "kind": "arxiv",
    "version": 2
  }
}