Pith Number

pith:FCDCBAW3

pith:2012:FCDCBAW3XCWGRJTBGIQPOK25MW

not attested not anchored not stored refs pending

A torsion Jacquet--Langlands correspondence

Akshay Venkatesh, Frank Calegari

arxiv:1212.3847 v1 · 2012-12-16 · 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{FCDCBAW3XCWGRJTBGIQPOK25MW}

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	2026-05-18T03:38:22.267015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28862082dbb8ac68a6613220f72b5d65b607481fbd4f4cbd292a624cd5113adf

Aliases

arxiv: 1212.3847 · arxiv_version: 1212.3847v1 · doi: 10.48550/arxiv.1212.3847 · pith_short_12: FCDCBAW3XCWG · pith_short_16: FCDCBAW3XCWGRJTB · pith_short_8: FCDCBAW3

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/FCDCBAW3XCWGRJTBGIQPOK25MW \
  | 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: 28862082dbb8ac68a6613220f72b5d65b607481fbd4f4cbd292a624cd5113adf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "739c923ead0512521edcee5f866909ef98a5d6e84fcb53bf85a4cdc8ae436ea3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-16T22:58:35Z",
    "title_canon_sha256": "576982f0ceab5be1e4f37cbebbf4a159fa0b02772daf037aa0c79ffd80083746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3847",
    "kind": "arxiv",
    "version": 1
  }
}