Pith Number

pith:2O6XELWM

pith:2000:2O6XELWMTNQCHEIZINR2AOCT2Y

not attested not anchored not stored refs pending

From Mennicke symbols to Euler class groups

Wilberd van der Kallen

arxiv:math/0010226 v1 · 2000-10-25 · 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{2O6XELWMTNQCHEIZINR2AOCT2Y}

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.

Cited by

1 paper in Pith

Using Large Language Models to Study Mathematical Practice

Receipt and verification

First computed	2026-07-04T14:49:05.156733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3bd722ecc9b602391194363a03853d63ce1fb20e93fbcc9b4dd102bffee1369

Aliases

arxiv: math/0010226 · arxiv_version: math/0010226v1 · doi: 10.48550/arxiv.math/0010226 · pith_short_12: 2O6XELWMTNQC · pith_short_16: 2O6XELWMTNQCHEIZ · pith_short_8: 2O6XELWM

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/2O6XELWMTNQCHEIZINR2AOCT2Y \
  | 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: d3bd722ecc9b602391194363a03853d63ce1fb20e93fbcc9b4dd102bffee1369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a89ec39d36cde76a8aa1b06c871eb2466554720abc2b4953b32f9c48c273fca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2000-10-25T08:37:35Z",
    "title_canon_sha256": "f9762473b6080d6b02fc63c4478104953fe04744d79daea8f4958435691a6d78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010226",
    "kind": "arxiv",
    "version": 1
  }
}