Pith Number

pith:7QVYWD3S

pith:2016:7QVYWD3SEOOOCEVGAH7Q5A3UJZ

not attested not anchored not stored refs pending

The generalized lifting property of Bruhat intervlas

Fabrizio Caselli, Paolo Sentinelli

arxiv:1603.04621 v1 · 2016-03-15 · 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{7QVYWD3SEOOOCEVGAH7Q5A3UJZ}

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	2026-05-18T01:19:04.348050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc2b8b0f72239ce112a601ff0e83744e5b945fcfdb2c472f354bd7799086ec8d

Aliases

arxiv: 1603.04621 · arxiv_version: 1603.04621v1 · doi: 10.48550/arxiv.1603.04621 · pith_short_12: 7QVYWD3SEOOO · pith_short_16: 7QVYWD3SEOOOCEVG · pith_short_8: 7QVYWD3S

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/7QVYWD3SEOOOCEVGAH7Q5A3UJZ \
  | 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: fc2b8b0f72239ce112a601ff0e83744e5b945fcfdb2c472f354bd7799086ec8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a727670f5ab44ff03c9b8f468c468bc617ec91c3d88bf2d36de66ac2214533",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-15T10:27:48Z",
    "title_canon_sha256": "3023a11de8a5d7965ea0e6c45c2f11d46955fa2ca7dc8df9d48b85e87cab598d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04621",
    "kind": "arxiv",
    "version": 1
  }
}