Pith Number

pith:AJO4Z5TI

pith:2011:AJO4Z5TIHOGHPPKNXKGNZT2Z6A

not attested not anchored not stored refs pending

The (local) lifting problem for curves

Andrew Obus

arxiv:1105.1530 v2 · 2011-05-08 · 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{AJO4Z5TIHOGHPPKNXKGNZT2Z6A}

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	2026-05-18T02:26:01.393341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

025dccf6683b8c77bd4dba8cdccf59f02d4bf7eca2791e81fbc80fe6bc837c7e

Aliases

arxiv: 1105.1530 · arxiv_version: 1105.1530v2 · doi: 10.48550/arxiv.1105.1530 · pith_short_12: AJO4Z5TIHOGH · pith_short_16: AJO4Z5TIHOGHPPKN · pith_short_8: AJO4Z5TI

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/AJO4Z5TIHOGHPPKNXKGNZT2Z6A \
  | 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: 025dccf6683b8c77bd4dba8cdccf59f02d4bf7eca2791e81fbc80fe6bc837c7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a27889c8af6aedeb877d9c25f58ee59dd771331d79d9e5fbec7dfc5fb558ad5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-08T15:46:57Z",
    "title_canon_sha256": "58efbdfbd0cecd96ae2c29b8449f6dd8884d4b7300da9280da784d9c787f5fc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1530",
    "kind": "arxiv",
    "version": 2
  }
}