Pith Number

pith:42FR6RLY

pith:2024:42FR6RLY76VKP7V2IOM55OREXK

not attested not anchored not stored refs pending

Categorical spectra as pointed $(\infty,\mathbb{Z})$-categories

David Kern

arxiv:2410.02578 v2 · 2024-10-03 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42FR6RLY76VKP7V2IOM55OREXK}

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.

Cited by

2 papers in Pith

Homology of higher categories

Stable homotopy theory of higher categories

Receipt and verification

First computed	2026-07-05T09:30:49.668504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68b1f4578ffaaa7feba4399deba24ba9eaeae091e87928c444ec4f920c8823e

Aliases

arxiv: 2410.02578 · arxiv_version: 2410.02578v2 · doi: 10.48550/arxiv.2410.02578 · pith_short_12: 42FR6RLY76VK · pith_short_16: 42FR6RLY76VKP7V2 · pith_short_8: 42FR6RLY

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/42FR6RLY76VKP7V2IOM55OREXK \
  | 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: e68b1f4578ffaaa7feba4399deba24ba9eaeae091e87928c444ec4f920c8823e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619c4e96da94e3557c5839b23ff73e885a9194d21727f3a92c6cf8aac7437f1f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-10-03T15:24:30Z",
    "title_canon_sha256": "63246f92ff007a5b011dbe6b099fac35ec8fac38346ee362e3fe14c6e447a8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.02578",
    "kind": "arxiv",
    "version": 2
  }
}