Pith Number

pith:OQPTFHWC

pith:2019:OQPTFHWCQWGESURNIX3ISY2UG4

not attested not anchored not stored refs pending

Weak Modularity and $\widetilde{A}_n$ Buildings

Zachary Munro

arxiv:1906.10259 v1 · 2019-06-24 · 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{OQPTFHWCQWGESURNIX3ISY2UG4}

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	2026-05-17T23:42:31.832172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

741f329ec2858c49522d45f6896354370694a44842c809aedea674f5498e8e32

Aliases

arxiv: 1906.10259 · arxiv_version: 1906.10259v1 · doi: 10.48550/arxiv.1906.10259 · pith_short_12: OQPTFHWCQWGE · pith_short_16: OQPTFHWCQWGESURN · pith_short_8: OQPTFHWC

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/OQPTFHWCQWGESURNIX3ISY2UG4 \
  | 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: 741f329ec2858c49522d45f6896354370694a44842c809aedea674f5498e8e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6847f3f74cbbd623104bf1113abaf9ae34b167b42d7fa5773c09b4b0e3e79fc4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-06-24T22:46:35Z",
    "title_canon_sha256": "521823c57bf10c01225b11a85c2c59aefee43fef7335149c8fccc99a217481e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10259",
    "kind": "arxiv",
    "version": 1
  }
}