Pith Number

pith:3UFVVYC3

pith:2025:3UFVVYC3JFI4LAACUFCENGFIV6

not attested not anchored not stored refs pending

Profinite rigidity and geometric convergence

Yu Huang

arxiv:2501.02234 v1 · 2025-01-04 · math.GT · 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{3UFVVYC3JFI4LAACUFCENGFIV6}

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	2026-07-05T09:57:04.323846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd0b5ae05b4951c58002a1444698a8af9c5b7d81847d1bcf5f56341ab1aba4eb

Aliases

arxiv: 2501.02234 · arxiv_version: 2501.02234v1 · doi: 10.48550/arxiv.2501.02234 · pith_short_12: 3UFVVYC3JFI4 · pith_short_16: 3UFVVYC3JFI4LAAC · pith_short_8: 3UFVVYC3

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/3UFVVYC3JFI4LAACUFCENGFIV6 \
  | 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: dd0b5ae05b4951c58002a1444698a8af9c5b7d81847d1bcf5f56341ab1aba4eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12447f185749cf8476f7155ce806a9d93c59a38e4f6925a2dfb3e24d7bb3a986",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-01-04T08:44:26Z",
    "title_canon_sha256": "601694c69545d1750c45dd63d76bd6e04848b6bc562df74f42a9dd205fd97e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.02234",
    "kind": "arxiv",
    "version": 1
  }
}