Pith Number

pith:S6M5ZJUY

pith:2012:S6M5ZJUYLN2LQIFPHXAQWQYTQL

not attested not anchored not stored refs pending

Cyclic Extensions and the Local Lifting Problem

Andrew Obus, Stefan Wewers

arxiv:1203.5057 v2 · 2012-03-22 · 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{S6M5ZJUYLN2LQIFPHXAQWQYTQL}

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	2026-05-18T02:26:01.309904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9799dca6985b74b820af3dc10b431382f777b7efcf433e1def1c60adb8af1a04

Aliases

arxiv: 1203.5057 · arxiv_version: 1203.5057v2 · doi: 10.48550/arxiv.1203.5057 · pith_short_12: S6M5ZJUYLN2L · pith_short_16: S6M5ZJUYLN2LQIFP · pith_short_8: S6M5ZJUY

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/S6M5ZJUYLN2LQIFPHXAQWQYTQL \
  | 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: 9799dca6985b74b820af3dc10b431382f777b7efcf433e1def1c60adb8af1a04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cfe17d375e8804695ae3390eb0198687e59f0174e0cd32d191940df81f050b2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-22T17:55:23Z",
    "title_canon_sha256": "ac01ccac17daa8ea35edd1d5b5852b537e6ca3c6227907e34d768f3bde52aa5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5057",
    "kind": "arxiv",
    "version": 2
  }
}