Pith Number

pith:DMI5JNP5

pith:2016:DMI5JNP57L5MVUDD4VUWMSE5OQ

not attested not anchored not stored refs pending

Parametrized higher category theory and higher algebra: A general introduction

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

arxiv:1608.03654 v1 · 2016-08-12 · math.AT · math.AG · 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{DMI5JNP57L5MVUDD4VUWMSE5OQ}

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	2026-05-18T01:09:12.214202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b11d4b5fdfafacad063e56966489d74099b18b200b0bd1ef22a2775145c2e1f

Aliases

arxiv: 1608.03654 · arxiv_version: 1608.03654v1 · doi: 10.48550/arxiv.1608.03654 · pith_short_12: DMI5JNP57L5M · pith_short_16: DMI5JNP57L5MVUDD · pith_short_8: DMI5JNP5

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/DMI5JNP57L5MVUDD4VUWMSE5OQ \
  | 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: 1b11d4b5fdfafacad063e56966489d74099b18b200b0bd1ef22a2775145c2e1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241fc7eb40342c2baa12c0578b9e7daf2c54e3ca3334c44fe155cbea4f785d5a",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-08-12T01:43:31Z",
    "title_canon_sha256": "ca560f1f025b53cf21746918b34ba814e0f8796e4864cd293e0f956152234d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03654",
    "kind": "arxiv",
    "version": 1
  }
}