Pith Number

pith:TAK5JWVU

pith:2004:TAK5JWVU46FHUTEVMOP2736N4Y

not attested not anchored not stored refs pending

Quasi-isometric rigidity of higher rank S-arithmetic lattices

Kevin Wortman

arxiv:math/0401357 v2 · 2004-01-26 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAK5JWVU46FHUTEVMOP2736N4Y}

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	2026-05-18T02:38:00.180359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9815d4dab4e78a7a4c95639fafefcde62624aa493bc2f73eff8f3c0fc1bb893b

Aliases

arxiv: math/0401357 · arxiv_version: math/0401357v2 · doi: 10.48550/arxiv.math/0401357 · pith_short_12: TAK5JWVU46FH · pith_short_16: TAK5JWVU46FHUTEV · pith_short_8: TAK5JWVU

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/TAK5JWVU46FHUTEVMOP2736N4Y \
  | 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: 9815d4dab4e78a7a4c95639fafefcde62624aa493bc2f73eff8f3c0fc1bb893b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf394910d1881ec7093a367aa8bc0ccfec4d0f88339b97750d1d0f05a870e3a1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-01-26T17:12:53Z",
    "title_canon_sha256": "c16d333b8b59d5881d4893e05dd97c8158beffe2d203dd4c7fd7b65b16b52789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401357",
    "kind": "arxiv",
    "version": 2
  }
}