Pith Number

pith:DZV7FEFY

pith:2011:DZV7FEFYNQ5UPMREIKLG7T3XWM

not attested not anchored not stored refs pending

On a theorem of Hazrat and Hoobler

Benjamin Antieau

arxiv:1104.0731 v1 · 2011-04-05 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZV7FEFYNQ5UPMREIKLG7T3XWM}

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	2026-05-18T04:25:02.689418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e6bf290b86c3b47b22442966fcf77b32022c94be9f4835f434ce699ea66bd56

Aliases

arxiv: 1104.0731 · arxiv_version: 1104.0731v1 · doi: 10.48550/arxiv.1104.0731 · pith_short_12: DZV7FEFYNQ5U · pith_short_16: DZV7FEFYNQ5UPMRE · pith_short_8: DZV7FEFY

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/DZV7FEFYNQ5UPMREIKLG7T3XWM \
  | 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: 1e6bf290b86c3b47b22442966fcf77b32022c94be9f4835f434ce699ea66bd56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7778f05990e27078f673407fbb12b007b28863c9e37e5253fbd6f12bc6869836",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-04-05T04:30:34Z",
    "title_canon_sha256": "e3cedda91dcbfad79a5e9455fd5224d37a48b270f9af87eda4877f76a1db97f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0731",
    "kind": "arxiv",
    "version": 1
  }
}