Pith Number

pith:XOLIH4TA

pith:2001:XOLIH4TAWUCQMCFV7FGOMG5FGI

not attested not anchored not stored refs pending

Introduction to Arithmetic Groups

Dave Witte Morris

arxiv:math/0106063 v6 · 2001-06-09 · math.DG · math.GR · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOLIH4TAWUCQMCFV7FGOMG5FGI}

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	2026-05-18T02:16:48.345052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb9683f260b5050608b5f94ce61ba53208140125469905740131822bb762a615

Aliases

arxiv: math/0106063 · arxiv_version: math/0106063v6 · doi: 10.48550/arxiv.math/0106063 · pith_short_12: XOLIH4TAWUCQ · pith_short_16: XOLIH4TAWUCQMCFV · pith_short_8: XOLIH4TA

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/XOLIH4TAWUCQMCFV7FGOMG5FGI \
  | 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: bb9683f260b5050608b5f94ce61ba53208140125469905740131822bb762a615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1de5408da74b7e9f54b9355dac2acb8ff65abf820486b3112e7f432b70d2fe3",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2001-06-09T19:39:59Z",
    "title_canon_sha256": "af819bcef3bb7d9a995f1c94158c369cc78f72e47bcf521328f51f4d3df48593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106063",
    "kind": "arxiv",
    "version": 6
  }
}