Pith Number

pith:PMRNVK6E

pith:2012:PMRNVK6EQPHRP3UVJWKAI7COVX

not attested not anchored not stored refs pending

Descent of affine buildings - II. Minimal angle \pi/3 and exceptional quadrangles

Koen Struyve

arxiv:1201.4248 v2 · 2012-01-20 · math.MG · 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{PMRNVK6EQPHRP3UVJWKAI7COVX}

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	2026-05-18T03:42:33.937552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b22daabc483cf17ee954d94047c4eaddb861df0468fac29b4622224696b89b4

Aliases

arxiv: 1201.4248 · arxiv_version: 1201.4248v2 · doi: 10.48550/arxiv.1201.4248 · pith_short_12: PMRNVK6EQPHR · pith_short_16: PMRNVK6EQPHRP3UV · pith_short_8: PMRNVK6E

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/PMRNVK6EQPHRP3UVJWKAI7COVX \
  | 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: 7b22daabc483cf17ee954d94047c4eaddb861df0468fac29b4622224696b89b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "378b4d2461113faf5b874cb7c994f7eaf82fbc65b2b1b51e8b19e603fbf5c00b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-01-20T10:09:28Z",
    "title_canon_sha256": "7bbb8e37f3c934df31837909151eacf78885aea30121809df6e17cb28aa04b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4248",
    "kind": "arxiv",
    "version": 2
  }
}