Pith Number

pith:T7MENKNU

pith:2011:T7MENKNUABFPGYDP4IKVFVJB2P

not attested not anchored not stored refs pending

Two-dimensional Id\`eles with Cycle Module Coefficients

Oliver Braunling

arxiv:1101.0424 v2 · 2011-01-02 · 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{T7MENKNUABFPGYDP4IKVFVJB2P}

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	2026-05-17T23:51:15.201685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd846a9b4004af3606fe21552d521d3d5decf825164289dde19006a4e147f87

Aliases

arxiv: 1101.0424 · arxiv_version: 1101.0424v2 · doi: 10.48550/arxiv.1101.0424 · pith_short_12: T7MENKNUABFP · pith_short_16: T7MENKNUABFPGYDP · pith_short_8: T7MENKNU

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/T7MENKNUABFPGYDP4IKVFVJB2P \
  | 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: 9fd846a9b4004af3606fe21552d521d3d5decf825164289dde19006a4e147f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efaff4edf7ecaa058e6c25dd6691a116bc908f6c8ec6312162bf5c79e220cc69",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-02T18:43:36Z",
    "title_canon_sha256": "70def4dbd1ebe422b531649b7afb6e02b262fae7fd6615e06fa9c1c469a32a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0424",
    "kind": "arxiv",
    "version": 2
  }
}