Pith Number

pith:OXAIU7SY

pith:2012:OXAIU7SY4I5OFTAP5WGWK7UQKX

not attested not anchored not stored refs pending

Monodromy and local-global compatibility for l=p

Ana Caraiani

arxiv:1202.4683 v1 · 2012-02-21 · math.NT · 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{OXAIU7SY4I5OFTAP5WGWK7UQKX}

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	2026-05-18T01:22:26.865846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75c08a7e58e23ae2cc0fed8d657e9055e599d2ea8c24860fcef3651a9f984dec

Aliases

arxiv: 1202.4683 · arxiv_version: 1202.4683v1 · doi: 10.48550/arxiv.1202.4683 · pith_short_12: OXAIU7SY4I5O · pith_short_16: OXAIU7SY4I5OFTAP · pith_short_8: OXAIU7SY

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/OXAIU7SY4I5OFTAP5WGWK7UQKX \
  | 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: 75c08a7e58e23ae2cc0fed8d657e9055e599d2ea8c24860fcef3651a9f984dec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d038b97b9764f4300c10275f043be0f2b86d99cc7fb4dddd0de4ebee5e65710b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-21T15:58:45Z",
    "title_canon_sha256": "e4f337932654192181ee8b1e3110b6b73eaad606ab6bfbe6329e5cea141dd829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4683",
    "kind": "arxiv",
    "version": 1
  }
}