Pith Number

pith:AUJFZ4KW

pith:2008:AUJFZ4KWZE4GQYQ5Y5MVK6GJSA

not attested not anchored not stored refs pending

Codistances of 3-spherical buildings

Alice Devillers, Bernhard M\"uhlherr, Hendrik Van Maldeghem

arxiv:0807.2781 v3 · 2008-07-17 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUJFZ4KWZE4GQYQ5Y5MVK6GJSA}

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	2026-05-18T04:25:37.986541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05125cf156c93868621dc7595578c9901b060e9955931a750e85741acb7b9c6b

Aliases

arxiv: 0807.2781 · arxiv_version: 0807.2781v3 · doi: 10.48550/arxiv.0807.2781 · pith_short_12: AUJFZ4KWZE4G · pith_short_16: AUJFZ4KWZE4GQYQ5 · pith_short_8: AUJFZ4KW

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/AUJFZ4KWZE4GQYQ5Y5MVK6GJSA \
  | 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: 05125cf156c93868621dc7595578c9901b060e9955931a750e85741acb7b9c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c5aa7f3f4a2af93fd673bc5c19b0bb1e6b21fecd9869cef003d69438b6302e2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-07-17T13:27:16Z",
    "title_canon_sha256": "e8063c08815d0f7edcf02a9cd3860b0713d0b08294c175d45ea4c6f3c6a1efc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2781",
    "kind": "arxiv",
    "version": 3
  }
}