Pith Number

pith:NUTECLPR

pith:2012:NUTECLPROEAKDCK5L4UG5FXCMS

not attested not anchored not stored refs pending

Non-commutative Iwasawa theory for modular forms

John Coates, Ramdorai Sujatha, Tim Dokchitser, William Stein, ZhiBin Liang

arxiv:1203.1908 v1 · 2012-03-08 · 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{NUTECLPROEAKDCK5L4UG5FXCMS}

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	2026-05-18T03:12:35.249640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d26412df17100a1895d5f286e96e264add3788d35fe617087f8bd2754cb5139

Aliases

arxiv: 1203.1908 · arxiv_version: 1203.1908v1 · doi: 10.48550/arxiv.1203.1908 · pith_short_12: NUTECLPROEAK · pith_short_16: NUTECLPROEAKDCK5 · pith_short_8: NUTECLPR

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/NUTECLPROEAKDCK5L4UG5FXCMS \
  | 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: 6d26412df17100a1895d5f286e96e264add3788d35fe617087f8bd2754cb5139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5839d31e95b3e1a82be1bd779fdff10d8b802ab262fc2df541d276733aa11527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-08T20:29:38Z",
    "title_canon_sha256": "f512d4469e1056665b4b85dcc5aa2d74ff6fbf4b4e8d1bd306df67e19bb59a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1908",
    "kind": "arxiv",
    "version": 1
  }
}