Pith Number

pith:L7FM466X

pith:2018:L7FM466XPALB5Y75MJWO7EVOSK

not attested not anchored not stored refs pending

Homogeneous length functions on groups

D.H.J. Polymath

arxiv:1801.03908 v2 · 2018-01-11 · math.GR · math.FA · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7FM466XPALB5Y75MJWO7EVOSK}

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	2026-05-18T00:01:30.248714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fcace7bd778161ee3fd626cef92ae928a8a0b17d26d9d64e16d144681262683

Aliases

arxiv: 1801.03908 · arxiv_version: 1801.03908v2 · doi: 10.48550/arxiv.1801.03908 · pith_short_12: L7FM466XPALB · pith_short_16: L7FM466XPALB5Y75 · pith_short_8: L7FM466X

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/L7FM466XPALB5Y75MJWO7EVOSK \
  | 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: 5fcace7bd778161ee3fd626cef92ae928a8a0b17d26d9d64e16d144681262683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414680a093ee29a67519c4e77acc6acf2f797a0810dd45304d1c5c597e040bf2",
    "cross_cats_sorted": [
      "math.FA",
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-11T18:12:21Z",
    "title_canon_sha256": "0f4679a15576fbcbc4195fa892d9dcb49d2bfb05d90537ed60d71ec7d7f09745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03908",
    "kind": "arxiv",
    "version": 2
  }
}