Pith Number

pith:REW3EQW3

pith:2012:REW3EQW3XKBGLWILR2C37MPRUV

not attested not anchored not stored refs pending

Formes modulaires de Hilbert modulo p et valeurs d'extensions galoisiennes

Christophe Breuil, Fred Diamond

arxiv:1208.5367 v3 · 2012-08-27 · 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{REW3EQW3XKBGLWILR2C37MPRUV}

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	2026-05-18T00:28:19.296232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

892db242dbba8265d90b8e85bfb1f1a562eaf862239dab7222ecf3a083ec4828

Aliases

arxiv: 1208.5367 · arxiv_version: 1208.5367v3 · doi: 10.48550/arxiv.1208.5367 · pith_short_12: REW3EQW3XKBG · pith_short_16: REW3EQW3XKBGLWIL · pith_short_8: REW3EQW3

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/REW3EQW3XKBGLWILR2C37MPRUV \
  | 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: 892db242dbba8265d90b8e85bfb1f1a562eaf862239dab7222ecf3a083ec4828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2f74281685e38b0d895653c7e92d6954927f911dc74cc8b3a58569db1af83be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-27T11:45:18Z",
    "title_canon_sha256": "9844e2f1c9fe7daa9c384a313553e8bb59561ee5e6a0c6e353afe2eed50930d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5367",
    "kind": "arxiv",
    "version": 3
  }
}