Pith Number

pith:C4X7TY5G

pith:2025:C4X7TY5GE2UAQRI7DNHPPIWUVO

not attested not anchored not stored refs pending

Weakly branch actions: first-order theory, rigidity and Boston's conjecture

Jorge Fari\~na-Asategui

arxiv:2507.22507 v1 · 2025-07-30 · 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{C4X7TY5GE2UAQRI7DNHPPIWUVO}

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.

Cited by

1 paper in Pith

Groups of finite type: classification and structural properties

Receipt and verification

First computed	2026-07-05T11:45:43.585940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

172ff9e3a626a808451f1b4ef7a2d4ab9d1e4770a199c632ee7d49aad0e553cf

Aliases

arxiv: 2507.22507 · arxiv_version: 2507.22507v1 · doi: 10.48550/arxiv.2507.22507 · pith_short_12: C4X7TY5GE2UA · pith_short_16: C4X7TY5GE2UAQRI7 · pith_short_8: C4X7TY5G

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/C4X7TY5GE2UAQRI7DNHPPIWUVO \
  | 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: 172ff9e3a626a808451f1b4ef7a2d4ab9d1e4770a199c632ee7d49aad0e553cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc2cffaa2707d789e908b9ba918bd9e39fc15c4b1ff583b3c8cb26b62596e4bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-07-30T09:25:28Z",
    "title_canon_sha256": "5e7d44fb35c4ce66e1d2a03656ee5884ec7353778bba3b5ee1335b6edea4bd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22507",
    "kind": "arxiv",
    "version": 1
  }
}