Pith Number

pith:7YJ2AJ5K

pith:2016:7YJ2AJ5KHWLDEITSH7RIGWQOIT

not attested not anchored not stored refs pending

Moufang Twin Trees of prime order

Bernhard M\"uhlherr, Matthias Gr\"uninger, Max Horn

arxiv:1607.04475 v1 · 2016-07-15 · 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{7YJ2AJ5KHWLDEITSH7RIGWQOIT}

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	2026-05-18T01:11:01.100907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe13a027aa3d963222723fe2835a0e44ded71eac832d05d7a80e4ffa8fbd48fa

Aliases

arxiv: 1607.04475 · arxiv_version: 1607.04475v1 · doi: 10.48550/arxiv.1607.04475 · pith_short_12: 7YJ2AJ5KHWLD · pith_short_16: 7YJ2AJ5KHWLDEITS · pith_short_8: 7YJ2AJ5K

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/7YJ2AJ5KHWLDEITSH7RIGWQOIT \
  | 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: fe13a027aa3d963222723fe2835a0e44ded71eac832d05d7a80e4ffa8fbd48fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c8c70cff4c1544349d7e286119c441ee23bc15c8abc8f84f796c8103e783ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-07-15T12:08:58Z",
    "title_canon_sha256": "ce16680c5bf639c1953c1e2f8d41c0792e61745807e0b61bf005d568e11a758c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04475",
    "kind": "arxiv",
    "version": 1
  }
}