Pith Number

pith:7NAB4EWS

pith:2017:7NAB4EWSKTS6YUVSBL5GCJ2WPN

not attested not anchored not stored refs pending

Lie Calculus

Wolfgang Bertram

arxiv:1702.08282 v2 · 2017-02-27 · math.GR · math.CT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NAB4EWSKTS6YUVSBL5GCJ2WPN}

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	2026-05-18T00:41:20.716794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb401e12d254e5ec52b20afa6127567b4711f73b2c596522fd98a0795b60cb5f

Aliases

arxiv: 1702.08282 · arxiv_version: 1702.08282v2 · doi: 10.48550/arxiv.1702.08282 · pith_short_12: 7NAB4EWSKTS6 · pith_short_16: 7NAB4EWSKTS6YUVS · pith_short_8: 7NAB4EWS

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/7NAB4EWSKTS6YUVSBL5GCJ2WPN \
  | 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: fb401e12d254e5ec52b20afa6127567b4711f73b2c596522fd98a0795b60cb5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ca9158379343bbe94ba21a1b6a4ae6747d1ab981be65cf516ccdf427879411f",
    "cross_cats_sorted": [
      "math.CT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-27T13:49:23Z",
    "title_canon_sha256": "ecb61332fb98b4091054c07f2eda49f60c5ca10a903a7b4a486a6a2bf69d8e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08282",
    "kind": "arxiv",
    "version": 2
  }
}