Pith Number

pith:FMHJ2U3Y

pith:2005:FMHJ2U3YN2OEVGXXAENIPQ4MQ5

not attested not anchored not stored refs pending

Computations in non-commutative Iwasawa theory

Tim Dokchitser, Vladimir Dokchitser

arxiv:math/0509286 v1 · 2005-09-13 · 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{FMHJ2U3YN2OEVGXXAENIPQ4MQ5}

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	2026-05-18T03:12:33.669169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0e9d53786e9c4a9af7011a87c38c8762f153977eb9c6b129679e6427d31be6

Aliases

arxiv: math/0509286 · arxiv_version: math/0509286v1 · doi: 10.48550/arxiv.math/0509286 · pith_short_12: FMHJ2U3YN2OE · pith_short_16: FMHJ2U3YN2OEVGXX · pith_short_8: FMHJ2U3Y

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/FMHJ2U3YN2OEVGXXAENIPQ4MQ5 \
  | 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: 2b0e9d53786e9c4a9af7011a87c38c8762f153977eb9c6b129679e6427d31be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6e427df8da26539447bdecf369db7fcab1a9405da1debcd7c1d06f31854681",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-09-13T17:38:25Z",
    "title_canon_sha256": "552778b6f313ab20cd851dd86a38a0b09e8066d9fdd0e73395ca18f76810299f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509286",
    "kind": "arxiv",
    "version": 1
  }
}