Pith Number

pith:JWB75HAA

pith:2016:JWB75HAAQWZ2QFM5EAJQMYMOKN

not attested not anchored not stored refs pending

Parametrized higher category theory and higher algebra: Expos\'e I -- Elements of parametrized higher category theory

Clark Barwick, Denis Nardin, Emanuele Dotto, Jay Shah, Saul Glasman

arxiv:1608.03657 v1 · 2016-08-12 · math.AT · math.AG · math.CT

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\usepackage{pith}
\pithnumber{JWB75HAAQWZ2QFM5EAJQMYMOKN}

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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.

Cited by

1 paper in Pith

A model for normed algebras in rational G-spectra

Receipt and verification

First computed	2026-05-18T01:09:12.199931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d83fe9c0085b3a8159d201306618e5352205d43367dd0b11b0cccd0f6eca958

Aliases

arxiv: 1608.03657 · arxiv_version: 1608.03657v1 · doi: 10.48550/arxiv.1608.03657 · pith_short_12: JWB75HAAQWZ2 · pith_short_16: JWB75HAAQWZ2QFM5 · pith_short_8: JWB75HAA

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/JWB75HAAQWZ2QFM5EAJQMYMOKN \
  | 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: 4d83fe9c0085b3a8159d201306618e5352205d43367dd0b11b0cccd0f6eca958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "102bc1f2ac5a6f9409c11d3785c6751dfe6332b917a999e66db4e8a06296681a",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-08-12T01:50:39Z",
    "title_canon_sha256": "ecf04feabd3005b5fd487bc9c8ef76dd7f063ccdbc4372b8977e2cad70fa86cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03657",
    "kind": "arxiv",
    "version": 1
  }
}