Pith Number

pith:OKOXDU2N

pith:2013:OKOXDU2NY2HJJR5AAWPMQKHFVK

not attested not anchored not stored refs pending

Lifting the field of norms

Laurent Berger

arxiv:1307.0384 v3 · 2013-07-01 · 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{OKOXDU2NY2HJJR5AAWPMQKHFVK}

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	2026-05-18T02:53:53.776750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

729d71d34dc68e94c7a0059ec828e5aa93eb776d32a396583a5f5949b9d19632

Aliases

arxiv: 1307.0384 · arxiv_version: 1307.0384v3 · doi: 10.48550/arxiv.1307.0384 · pith_short_12: OKOXDU2NY2HJ · pith_short_16: OKOXDU2NY2HJJR5A · pith_short_8: OKOXDU2N

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/OKOXDU2NY2HJJR5AAWPMQKHFVK \
  | 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: 729d71d34dc68e94c7a0059ec828e5aa93eb776d32a396583a5f5949b9d19632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16aafa421a5f4ad303ab28d3778609c7b92d1eee46ccdf770392f3cddaf18f08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-01T14:41:57Z",
    "title_canon_sha256": "3e65acfa338405267d51b286d935e2a27c7f13d2d0c8437e7c5520fa002afeed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0384",
    "kind": "arxiv",
    "version": 3
  }
}