Pith Number

pith:YKNAPXFT

pith:2016:YKNAPXFTXCX5KSXHAH7HCUWFWO

not attested not anchored not stored refs pending

Fibers of automorphic word maps and an application to composition factors

Alexander Bors

arxiv:1608.00131 v2 · 2016-07-30 · 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{YKNAPXFTXCX5KSXHAH7HCUWFWO}

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	2026-05-18T01:02:22.022418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c29a07dcb3b8afd54ae701fe7152c5b3ba493b890e2362f41fcf7f7c623eb381

Aliases

arxiv: 1608.00131 · arxiv_version: 1608.00131v2 · doi: 10.48550/arxiv.1608.00131 · pith_short_12: YKNAPXFTXCX5 · pith_short_16: YKNAPXFTXCX5KSXH · pith_short_8: YKNAPXFT

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/YKNAPXFTXCX5KSXHAH7HCUWFWO \
  | 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: c29a07dcb3b8afd54ae701fe7152c5b3ba493b890e2362f41fcf7f7c623eb381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e400426e6fd95f4a3ab5a96c16f21401a96ceeb0afd93688a769cb307d547ae5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-07-30T15:03:06Z",
    "title_canon_sha256": "0c0cd3763ffeca33310e66d303c1285b4dadda588d690aa26abd37d91055e2f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00131",
    "kind": "arxiv",
    "version": 2
  }
}