Pith Number

pith:5FLU2TMC

pith:2007:5FLU2TMCFPENEFUOY5XDVFYLFO

not attested not anchored not stored refs pending

The relative second Fox and third dimension subgroup of arbitrary groups

Manfred Hartl

arxiv:0707.0286 v1 · 2007-07-02 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FLU2TMCFPENEFUOY5XDVFYLFO}

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	2026-05-18T04:18:35.108573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9574d4d822bc8d2168ec76e3a970b2bb766cba2e4d22bff1218d45761d4b2b2

Aliases

arxiv: 0707.0286 · arxiv_version: 0707.0286v1 · doi: 10.48550/arxiv.0707.0286 · pith_short_12: 5FLU2TMCFPEN · pith_short_16: 5FLU2TMCFPENEFUO · pith_short_8: 5FLU2TMC

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/5FLU2TMCFPENEFUOY5XDVFYLFO \
  | 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: e9574d4d822bc8d2168ec76e3a970b2bb766cba2e4d22bff1218d45761d4b2b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "962425f3b97a636674f4833e0f2dd21034ef4942d795f1b264af807c1e23a586",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-07-02T18:41:33Z",
    "title_canon_sha256": "07505ed7120808647f0dd7eb51fc7d02e006a4d7b04330b785c0cd9b799f1eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0286",
    "kind": "arxiv",
    "version": 1
  }
}