Pith Number

pith:ZI3EOOUE

pith:2024:ZI3EOOUEFPNWDHTYO5C4IX4VPN

not attested not anchored not stored refs pending

Homotopy limits of model categories, revisited

Julia E. Bergner

arxiv:2411.18546 v1 · 2024-11-27 · math.AT · 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{ZI3EOOUEFPNWDHTYO5C4IX4VPN}

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	2026-07-05T09:41:17.805579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca36473a842bdb619e787745c45f957b48c89f0359443aba46ec016e4c261c26

Aliases

arxiv: 2411.18546 · arxiv_version: 2411.18546v1 · doi: 10.48550/arxiv.2411.18546 · pith_short_12: ZI3EOOUEFPNW · pith_short_16: ZI3EOOUEFPNWDHTY · pith_short_8: ZI3EOOUE

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/ZI3EOOUEFPNWDHTYO5C4IX4VPN \
  | 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: ca36473a842bdb619e787745c45f957b48c89f0359443aba46ec016e4c261c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22c3af9c265462ba1bdbc93ade82fe3cbceba275f0c0098c6ce2334d79dbeb9b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-11-27T17:49:51Z",
    "title_canon_sha256": "3394e7d06f112d9189ff85cb42c8af921725f1679001e41f0b0884194e28b529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18546",
    "kind": "arxiv",
    "version": 1
  }
}