Pith Number

pith:IXBTAZG7

pith:2024:IXBTAZG7IMUBFZE7WRPUDTDWO2

not attested not anchored not stored refs pending

Things we can learn by considering random locally symmetric manifolds

Tsachik Gelander

arxiv:2407.21208 v2 · 2024-07-30 · 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{IXBTAZG7IMUBFZE7WRPUDTDWO2}

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

Non-uniform higher-rank lattices are character rigid

Receipt and verification

First computed	2026-07-05T10:02:49.189423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c33064df432812e49fb45f41cc7676a13f1b3f55f971340438c24849b22a07

Aliases

arxiv: 2407.21208 · arxiv_version: 2407.21208v2 · doi: 10.48550/arxiv.2407.21208 · pith_short_12: IXBTAZG7IMUB · pith_short_16: IXBTAZG7IMUBFZE7 · pith_short_8: IXBTAZG7

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/IXBTAZG7IMUBFZE7WRPUDTDWO2 \
  | 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: 45c33064df432812e49fb45f41cc7676a13f1b3f55f971340438c24849b22a07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11688c20b3c731522d0b3f2557d3f25aea74356fcf38d3f815e20fedb576f670",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-07-30T21:43:57Z",
    "title_canon_sha256": "7865723c0693cc4c2a683e0efd88e7de9a9a7ff359cd9206524291afbf4b8808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.21208",
    "kind": "arxiv",
    "version": 2
  }
}