Pith Number

pith:L3ZFV2EF

pith:2013:L3ZFV2EFZFFOK3Z4GWZNIDYOMR

not attested not anchored not stored refs pending

The cellularization principle for Quillen adjunctions

B. Shipley, J. P. C. Greenlees

arxiv:1301.5583 v2 · 2013-01-23 · 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{L3ZFV2EFZFFOK3Z4GWZNIDYOMR}

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	2026-05-18T03:25:34.694337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef25ae885c94ae56f3c35b2d40f0e644cb6741e99112b701a9e93d31e21b874

Aliases

arxiv: 1301.5583 · arxiv_version: 1301.5583v2 · doi: 10.48550/arxiv.1301.5583 · pith_short_12: L3ZFV2EFZFFO · pith_short_16: L3ZFV2EFZFFOK3Z4 · pith_short_8: L3ZFV2EF

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/L3ZFV2EFZFFOK3Z4GWZNIDYOMR \
  | 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: 5ef25ae885c94ae56f3c35b2d40f0e644cb6741e99112b701a9e93d31e21b874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5338d0b5136accf6fbb86ddff43f71bdaa310baad76b96bc628321c11ca5be90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-01-23T17:48:11Z",
    "title_canon_sha256": "b284d49172e06efbad5955458414e848261f02bb312560bd200d11b02145b48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5583",
    "kind": "arxiv",
    "version": 2
  }
}