Pith Number

pith:J67C3R3T

pith:2011:J67C3R3TSXP7PQRQDFT5N4GI4G

not attested not anchored not stored refs pending

Langlands program for $p$-adic coefficients and the petites camarades conjecture

Tomoyuki Abe

arxiv:1111.2479 v1 · 2011-11-10 · 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{J67C3R3TSXP7PQRQDFT5N4GI4G}

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	2026-05-18T04:08:34.038926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fbe2dc77395dff7c2301967d6f0c8e189ff5b2d69ac925229ed9a75ff6bb1ec

Aliases

arxiv: 1111.2479 · arxiv_version: 1111.2479v1 · doi: 10.48550/arxiv.1111.2479 · pith_short_12: J67C3R3TSXP7 · pith_short_16: J67C3R3TSXP7PQRQ · pith_short_8: J67C3R3T

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/J67C3R3TSXP7PQRQDFT5N4GI4G \
  | 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: 4fbe2dc77395dff7c2301967d6f0c8e189ff5b2d69ac925229ed9a75ff6bb1ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6eb37f3b243342a12122411715ddb2df737d0a947035b97e605bbdb282e81e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-10T14:16:19Z",
    "title_canon_sha256": "70b237c2c92773ccd0142a01a6137611027b486cccd8584ea49f8e190f3e3880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2479",
    "kind": "arxiv",
    "version": 1
  }
}