Pith Number

pith:NCGJ575F

pith:2023:NCGJ575FXR7F3P3MD4EGH6N24G

not attested not anchored not stored refs pending

Arithmetic groups

Vincent Emery

arxiv:2308.03752 v1 · 2023-08-07 · math.GT · math.GR · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCGJ575FXR7F3P3MD4EGH6N24G}

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

Negatively curved Einstein metrics on Gromov-Thurston manifolds

Receipt and verification

First computed	2026-07-05T06:38:21.825123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

688c9effa5bc7e5dbf6c1f0863f9bae1bef27ab2ad4a3eaa0da753fddaf3bfc6

Aliases

arxiv: 2308.03752 · arxiv_version: 2308.03752v1 · doi: 10.48550/arxiv.2308.03752 · pith_short_12: NCGJ575FXR7F · pith_short_16: NCGJ575FXR7F3P3M · pith_short_8: NCGJ575F

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/NCGJ575FXR7F3P3MD4EGH6N24G \
  | 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: 688c9effa5bc7e5dbf6c1f0863f9bae1bef27ab2ad4a3eaa0da753fddaf3bfc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8add557cab6c0b5780b983aca78128180d56bd3c739f7a3e46d726ee0ca0236",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-08-07T17:59:22Z",
    "title_canon_sha256": "cb125bafd0a2cf4d64147f12657b83914facc1cdd734bb326f3e1d06e13ea84c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.03752",
    "kind": "arxiv",
    "version": 1
  }
}