Pith Number

pith:D4ZYXYDT

pith:2010:D4ZYXYDTKWBYVOU67KK7DGCEAJ

not attested not anchored not stored refs pending

A Local-to-Global Result for Topological Spherical Buildings

Rupert McCallum

arxiv:1009.4249 v12 · 2010-09-22 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4ZYXYDTKWBYVOU67KK7DGCEAJ}

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	2026-05-18T03:41:30.848171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f338be07355838aba9efa95f1984402494f3b55abd5adbe5a6245de9792ae81

Aliases

arxiv: 1009.4249 · arxiv_version: 1009.4249v12 · doi: 10.48550/arxiv.1009.4249 · pith_short_12: D4ZYXYDTKWBY · pith_short_16: D4ZYXYDTKWBYVOU6 · pith_short_8: D4ZYXYDT

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/D4ZYXYDTKWBYVOU67KK7DGCEAJ \
  | 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: 1f338be07355838aba9efa95f1984402494f3b55abd5adbe5a6245de9792ae81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23abd1c3a35009d78158ae9861e9741bf72318f553206d406c4d8b8af1151a81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-09-22T02:25:03Z",
    "title_canon_sha256": "d9c5145db5e021f78e9b7b91e1a841c792aedec545568742840d234120f76864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4249",
    "kind": "arxiv",
    "version": 12
  }
}