Pith Number

pith:NIDJOJ4J

pith:2017:NIDJOJ4J2ESDZSJYMJP2CLVDOH

not attested not anchored not stored refs pending

On geodesic ray bundles in buildings

Timoth\'ee Marquis

arxiv:1708.08431 v3 · 2017-08-28 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIDJOJ4J2ESDZSJYMJP2CLVDOH}

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	2026-05-18T00:02:19.519903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a06972789d1243cc938625fa12ea371f36955289faa0c2f52644e237e2f905c

Aliases

arxiv: 1708.08431 · arxiv_version: 1708.08431v3 · doi: 10.48550/arxiv.1708.08431 · pith_short_12: NIDJOJ4J2ESD · pith_short_16: NIDJOJ4J2ESDZSJY · pith_short_8: NIDJOJ4J

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/NIDJOJ4J2ESDZSJYMJP2CLVDOH \
  | 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: 6a06972789d1243cc938625fa12ea371f36955289faa0c2f52644e237e2f905c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "939c4aad65062dd543c4aaad5602329e15da5130fce3b899a86a3340512a0e76",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-28T17:30:53Z",
    "title_canon_sha256": "b863237e6b0cb1f1965512e9079a988f10be26173641d41bbff208d6c3479887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08431",
    "kind": "arxiv",
    "version": 3
  }
}