Pith Number

pith:WRQUJYAR

pith:2011:WRQUJYARNAOBIAHQ6KRMV6TTZH

not attested not anchored not stored refs pending

A Leray spectral sequence for noncommutative differential fibrations

Edwin Beggs, Ibtisam Masmali

arxiv:1108.5055 v1 · 2011-08-25 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRQUJYARNAOBIAHQ6KRMV6TTZH}

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	2026-05-18T04:14:45.494407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46144e011681c1400f0f2a2cafa73c9ecaf6a7a22ef3ba30f1b5ce60b5e1bef

Aliases

arxiv: 1108.5055 · arxiv_version: 1108.5055v1 · doi: 10.48550/arxiv.1108.5055 · pith_short_12: WRQUJYARNAOB · pith_short_16: WRQUJYARNAOBIAHQ · pith_short_8: WRQUJYAR

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/WRQUJYARNAOBIAHQ6KRMV6TTZH \
  | 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: b46144e011681c1400f0f2a2cafa73c9ecaf6a7a22ef3ba30f1b5ce60b5e1bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e14696968b389bb9fee313ca190505dac3f520e8c29860517052ce61715b242e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-08-25T10:55:06Z",
    "title_canon_sha256": "05d7627c97815b5bb4c52da4753920bb42dc41334ec780f71a2477b18db6dea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5055",
    "kind": "arxiv",
    "version": 1
  }
}