Pith Number

pith:33DU3BNO

pith:2015:33DU3BNO5RJWU7BCCFCNIYD7EL

not attested not anchored not stored refs pending

Stratified categories, geometric fixed points and a generalized Arone-Ching theorem

Saul Glasman

arxiv:1507.01976 v4 · 2015-07-07 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33DU3BNO5RJWU7BCCFCNIYD7EL}

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	2026-05-18T00:30:09.507568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec74d85aeec536a7c221144d4607f22c1d80925c02d27505e01c730793c7d88

Aliases

arxiv: 1507.01976 · arxiv_version: 1507.01976v4 · doi: 10.48550/arxiv.1507.01976 · pith_short_12: 33DU3BNO5RJW · pith_short_16: 33DU3BNO5RJWU7BC · pith_short_8: 33DU3BNO

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/33DU3BNO5RJWU7BCCFCNIYD7EL \
  | 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: dec74d85aeec536a7c221144d4607f22c1d80925c02d27505e01c730793c7d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26ca668971e94a9727ff3cc115c19f03c170f4588576a77af04916b19e4976d1",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-07-07T22:16:18Z",
    "title_canon_sha256": "a55fd58708a46b9277b474518a58e3775cd36be17c4f55f8d82d1b93bd2c8369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01976",
    "kind": "arxiv",
    "version": 4
  }
}