Pith Number

pith:GNPCKQVF

pith:2025:GNPCKQVFGIOD3VU6OTCZLGUAO4

not attested not anchored not stored refs pending

Homotopy categories and fibrant model structures

Pu Zhang, Xue-Song Lu

arxiv:2501.15898 v1 · 2025-01-27 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNPCKQVFGIOD3VU6OTCZLGUAO4}

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	2026-07-05T10:05:51.696923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335e2542a5321c3dd69e74c5959a80773f8863d95167c34af46f980cbb0acb5b

Aliases

arxiv: 2501.15898 · arxiv_version: 2501.15898v1 · doi: 10.48550/arxiv.2501.15898 · pith_short_12: GNPCKQVFGIOD · pith_short_16: GNPCKQVFGIOD3VU6 · pith_short_8: GNPCKQVF

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/GNPCKQVFGIOD3VU6OTCZLGUAO4 \
  | 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: 335e2542a5321c3dd69e74c5959a80773f8863d95167c34af46f980cbb0acb5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01075d615300565b873c2973df9a424e6a3740fda98cd8341c1499bb98353cbd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-01-27T09:47:00Z",
    "title_canon_sha256": "83b45203387e513dd44a9c5d6b1ee26019075f6809b648b060464767fe86c1d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15898",
    "kind": "arxiv",
    "version": 1
  }
}