Pith Number

pith:XOZ4PKV4

pith:2011:XOZ4PKV46KWEIBD4CUOTWAUN5R

not attested not anchored not stored refs pending

Arithmetic linear series with base conditions

Atsushi Moriwaki

arxiv:1101.5462 v2 · 2011-01-28 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOZ4PKV46KWEIBD4CUOTWAUN5R}

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	2026-05-18T04:05:38.872901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb3c7aabcf2ac44047c151d3b028dec4c28dfc5fd2f9204ece6c259ce8878f4

Aliases

arxiv: 1101.5462 · arxiv_version: 1101.5462v2 · doi: 10.48550/arxiv.1101.5462 · pith_short_12: XOZ4PKV46KWE · pith_short_16: XOZ4PKV46KWEIBD4 · pith_short_8: XOZ4PKV4

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/XOZ4PKV46KWEIBD4CUOTWAUN5R \
  | 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: bbb3c7aabcf2ac44047c151d3b028dec4c28dfc5fd2f9204ece6c259ce8878f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0c18c43e81b519562390212e9198f842c7163cdf424b20cd949266c650379d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-28T06:20:43Z",
    "title_canon_sha256": "5f1448516b562c844396c1c5b82c5baa87712a6e98b94d5aa4a8dd0be66d0617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5462",
    "kind": "arxiv",
    "version": 2
  }
}