Pith Number

pith:HKY6ZUFM

pith:2015:HKY6ZUFM7LNCHDAH4TB2X4TLNM

not attested not anchored not stored refs pending

Left Adjoints for Generalized Multicategories

A. D. Elmendorf

arxiv:1502.04741 v1 · 2015-02-16 · 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{HKY6ZUFM7LNCHDAH4TB2X4TLNM}

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	2026-05-18T02:26:58.446646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab1ecd0acfada238c07e4c3abf26b6b01b4750fc5e819285b7d6a0f932f800b

Aliases

arxiv: 1502.04741 · arxiv_version: 1502.04741v1 · doi: 10.48550/arxiv.1502.04741 · pith_short_12: HKY6ZUFM7LNC · pith_short_16: HKY6ZUFM7LNCHDAH · pith_short_8: HKY6ZUFM

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/HKY6ZUFM7LNCHDAH4TB2X4TLNM \
  | 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: 3ab1ecd0acfada238c07e4c3abf26b6b01b4750fc5e819285b7d6a0f932f800b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe82b8e43b4c22c46285bf81d493b6563aebdd674cd0e6fb513fa3fd76b2532",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-02-16T22:36:49Z",
    "title_canon_sha256": "8c9aef6a58d54bda9831c1b9f66986caf17bf137531b5f19ebbcea96e225dffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04741",
    "kind": "arxiv",
    "version": 1
  }
}