Pith Number

pith:Z4Q7SAJZ

pith:2010:Z4Q7SAJZTRILPK5TWYFP26BX57

not attested not anchored not stored refs pending

Notes on completely reducible subcomplexes of spherical buildings

Linus Kramer

arxiv:1010.0083 v1 · 2010-10-01 · math.MG · 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{Z4Q7SAJZTRILPK5TWYFP26BX57}

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	2026-05-18T04:40:00.301123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf21f901399c50b7abb3b60afd7837effe33c1bd9106a2daf254284337a45430

Aliases

arxiv: 1010.0083 · arxiv_version: 1010.0083v1 · doi: 10.48550/arxiv.1010.0083 · pith_short_12: Z4Q7SAJZTRIL · pith_short_16: Z4Q7SAJZTRILPK5T · pith_short_8: Z4Q7SAJZ

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/Z4Q7SAJZTRILPK5TWYFP26BX57 \
  | 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: cf21f901399c50b7abb3b60afd7837effe33c1bd9106a2daf254284337a45430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "092a8814be856090c26d03b8052bacd593332ff0b596648f82f58c2ef675d5b5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-10-01T06:47:50Z",
    "title_canon_sha256": "51e2fd5650a91bbb7237802c892eb4c7a80adda03627c50f18a30fb0b3682632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0083",
    "kind": "arxiv",
    "version": 1
  }
}