Pith Number

pith:A4GPCVAV

pith:2020:A4GPCVAVETJ33YC6JOMMKCIYES

not attested not anchored not stored refs pending

Enriched infinity categories I: enriched presheaves

John D. Berman

arxiv:2008.11323 v1 · 2020-08-26 · math.CT · math.AT · 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{A4GPCVAVETJ33YC6JOMMKCIYES}

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

1 paper in Pith

Categorical K\"unneth formulas for analytic stacks

Receipt and verification

First computed	2026-07-05T01:30:44.155021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

070cf1541524d3bde05e4b98c50918248e34dce44b35817311a4e00ce449d231

Aliases

arxiv: 2008.11323 · arxiv_version: 2008.11323v1 · doi: 10.48550/arxiv.2008.11323 · pith_short_12: A4GPCVAVETJ3 · pith_short_16: A4GPCVAVETJ33YC6 · pith_short_8: A4GPCVAV

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/A4GPCVAVETJ33YC6JOMMKCIYES \
  | 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: 070cf1541524d3bde05e4b98c50918248e34dce44b35817311a4e00ce449d231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10dd856c78aecf06f8aed12f3a47a184ed7e0526bfbbcb2f6f17da7a1556a60d",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2020-08-26T00:55:18Z",
    "title_canon_sha256": "3e60e435e659d43a6e17f04191d6b98a7640f6352f61c771ba0ba46257a3efa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.11323",
    "kind": "arxiv",
    "version": 1
  }
}