Pith Number

pith:VOCJFMAM

pith:2011:VOCJFMAM3LOYKNA37QCBSO6TYL

not attested not anchored not stored refs pending

Lambda actions of rings of integers

Bart de Smit, James Borger

arxiv:1105.4662 v1 · 2011-05-24 · math.NT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOCJFMAM3LOYKNA37QCBSO6TYL}

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	2026-05-18T04:21:21.970591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab8492b00cdadd85341bfc04193bd3c2eb6fc5412c30426b3a0caabd26abf022

Aliases

arxiv: 1105.4662 · arxiv_version: 1105.4662v1 · doi: 10.48550/arxiv.1105.4662 · pith_short_12: VOCJFMAM3LOY · pith_short_16: VOCJFMAM3LOYKNA3 · pith_short_8: VOCJFMAM

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/VOCJFMAM3LOYKNA37QCBSO6TYL \
  | 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: ab8492b00cdadd85341bfc04193bd3c2eb6fc5412c30426b3a0caabd26abf022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a7d12d599f6d29070ca9913445a9e691e324ce8b752547bdec67deaba1ff00a",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-24T01:04:51Z",
    "title_canon_sha256": "08e85ec2553e98f2bef3e2072840cf7fb717c4bfc0d8d846c40476c9a4f18e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4662",
    "kind": "arxiv",
    "version": 1
  }
}