Pith Number

pith:IA52YOHP

pith:2017:IA52YOHPJ6C4E5JUDMZBSBDFLY

not attested not anchored not stored refs pending

Fibers of word maps and the multiplicities of nonabelian composition factors

Alexander Bors

arxiv:1703.00408 v2 · 2017-03-01 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IA52YOHPJ6C4E5JUDMZBSBDFLY}

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	2026-05-18T00:48:53.311212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

403bac38ef4f85c275341b321904655e1c633bd9a6d80b1a472e9d903cfa3e59

Aliases

arxiv: 1703.00408 · arxiv_version: 1703.00408v2 · doi: 10.48550/arxiv.1703.00408 · pith_short_12: IA52YOHPJ6C4 · pith_short_16: IA52YOHPJ6C4E5JU · pith_short_8: IA52YOHP

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/IA52YOHPJ6C4E5JUDMZBSBDFLY \
  | 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: 403bac38ef4f85c275341b321904655e1c633bd9a6d80b1a472e9d903cfa3e59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5634cc85b48eb8b51b2cc39b2712af424e1854c66540c5bacf6e48a8b955c7ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-01T17:41:14Z",
    "title_canon_sha256": "28b7c2a28c851858a8322c7d53e00f57331eb2cde7253461e6992330839909b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00408",
    "kind": "arxiv",
    "version": 2
  }
}