Pith Number

pith:RLZYVUHC

pith:2012:RLZYVUHCTPTG5XM2EMHSCM5EO6

not attested not anchored not stored refs pending

Dull cut off for circulants

Aaron Abrams, Eric Babson, Henry Landau, James Pommersheim, Zeph Landau

arxiv:1208.5235 v2 · 2012-08-26 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLZYVUHCTPTG5XM2EMHSCM5EO6}

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	2026-05-18T01:10:46.174775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8af38ad0e29be66edd9a230f2133a4779142f7e0202e0e56207415d7ed95c46e

Aliases

arxiv: 1208.5235 · arxiv_version: 1208.5235v2 · doi: 10.48550/arxiv.1208.5235 · pith_short_12: RLZYVUHCTPTG · pith_short_16: RLZYVUHCTPTG5XM2 · pith_short_8: RLZYVUHC

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/RLZYVUHCTPTG5XM2EMHSCM5EO6 \
  | 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: 8af38ad0e29be66edd9a230f2133a4779142f7e0202e0e56207415d7ed95c46e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cd9a17fd67faf6d884f9ee113f80940167af5b3a3a6c76c0b20546b001e0aa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-26T16:22:32Z",
    "title_canon_sha256": "d6c770a2441b0c772a2303a755c65e307bd23429ba486874d2deb4fe2c8d6f0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5235",
    "kind": "arxiv",
    "version": 2
  }
}