Pith Number

pith:LRDO4D7I

pith:2003:LRDO4D7IFWNLQVPT7IORAZXFCZ

not attested not anchored not stored refs pending

Buildings and classical groups

Linus Kramer

arxiv:math/0307117 v1 · 2003-07-09 · 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{LRDO4D7IFWNLQVPT7IORAZXFCZ}

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	2026-07-04T14:37:35.090874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c46ee0fe82d9ab855f3fa1d1066e5164dcd46a4610c627a85a6ab8da4c9bc50

Aliases

arxiv: math/0307117 · arxiv_version: math/0307117v1 · doi: 10.48550/arxiv.math/0307117 · pith_short_12: LRDO4D7IFWNL · pith_short_16: LRDO4D7IFWNLQVPT · pith_short_8: LRDO4D7I

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/LRDO4D7IFWNLQVPT7IORAZXFCZ \
  | 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: 5c46ee0fe82d9ab855f3fa1d1066e5164dcd46a4610c627a85a6ab8da4c9bc50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ece90796a176fbc3397b8f868a8f4f191f5c01c0e949a3ee92bd1592ea4371",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-07-09T13:30:06Z",
    "title_canon_sha256": "536dd30b8dd04a1381e75abda51fc5a8c0f5a217965e588decfcc3d10b5c3df4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307117",
    "kind": "arxiv",
    "version": 1
  }
}