Pith Number

pith:5MU3MK7R

pith:2009:5MU3MK7R35DACR44W4STQLFF4R

not attested not anchored not stored refs pending

Estimation of arithmetic linear series

Atsushi Moriwaki

arxiv:0902.1357 v1 · 2009-02-09 · math.AG · 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{5MU3MK7R35DACR44W4STQLFF4R}

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	2026-05-18T02:29:30.400889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb29b62bf1df4601479cb725382ca5e443adf2fce9e9c71b13e69beffb0eda31

Aliases

arxiv: 0902.1357 · arxiv_version: 0902.1357v1 · doi: 10.48550/arxiv.0902.1357 · pith_short_12: 5MU3MK7R35DA · pith_short_16: 5MU3MK7R35DACR44 · pith_short_8: 5MU3MK7R

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/5MU3MK7R35DACR44W4STQLFF4R \
  | 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: eb29b62bf1df4601479cb725382ca5e443adf2fce9e9c71b13e69beffb0eda31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0062c6dc5b25ab4c86ba1e7687164bb74fbf21724da123b6f5ba683cc7a9a7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-09T02:27:14Z",
    "title_canon_sha256": "2b7239dd550dd4019d5916a8c5321e5e8ad051157434d2ede7326e64bf53ca39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1357",
    "kind": "arxiv",
    "version": 1
  }
}