Pith Number

pith:R4AYNG43

pith:2014:R4AYNG43JFMEC7AHD5W7IQWALQ

not attested not anchored not stored refs pending

Aut(F2) puzzles

Mikael Pichot, Sylvain Barre

arxiv:1410.7742 v1 · 2014-10-28 · 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{R4AYNG43JFMEC7AHD5W7IQWALQ}

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	2026-05-18T02:39:09.581798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f01869b9b4958417c071f6df442c05c1ea9d878b086e543eb805c90061c7928

Aliases

arxiv: 1410.7742 · arxiv_version: 1410.7742v1 · doi: 10.48550/arxiv.1410.7742 · pith_short_12: R4AYNG43JFME · pith_short_16: R4AYNG43JFMEC7AH · pith_short_8: R4AYNG43

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/R4AYNG43JFMEC7AHD5W7IQWALQ \
  | 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: 8f01869b9b4958417c071f6df442c05c1ea9d878b086e543eb805c90061c7928

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22afa87531ab10b531966bef9e064714259e4fb774c41d438ad527eef9449cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-28T19:16:49Z",
    "title_canon_sha256": "6d242ba214b25ba3d07e6dcab267810f976d5d93b6c33e0340d7a5d758618f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7742",
    "kind": "arxiv",
    "version": 1
  }
}