Pith Number

pith:S6E2X4OJ

pith:2024:S6E2X4OJ3C5YXN2JZCQC2TJSAU

not attested not anchored not stored refs pending

Model structure from one hereditary complete cortorsion pair

Jian Cui, Pu Zhang, Xue-Song Lu

arxiv:2401.08078 v2 · 2024-01-16 · math.RT · 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{S6E2X4OJ3C5YXN2JZCQC2TJSAU}

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

Homotopy categories and fibrant model structures

Receipt and verification

First computed	2026-07-05T10:23:18.184535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9789abf1c9d8bb8bb749c8a02d4d3205085701bc0c61193abaaab5fa2536cd23

Aliases

arxiv: 2401.08078 · arxiv_version: 2401.08078v2 · doi: 10.48550/arxiv.2401.08078 · pith_short_12: S6E2X4OJ3C5Y · pith_short_16: S6E2X4OJ3C5YXN2J · pith_short_8: S6E2X4OJ

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/S6E2X4OJ3C5YXN2JZCQC2TJSAU \
  | 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: 9789abf1c9d8bb8bb749c8a02d4d3205085701bc0c61193abaaab5fa2536cd23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "490db0f0278d313e53e15c90422c4d0ef082e8ee0552d9eb7661ec7a4f678076",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-01-16T03:03:40Z",
    "title_canon_sha256": "2d4580a1da09fbd1f3b8b9392263d666a7e05e3d4511e8a1c8ef7fa2d5b0f2e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.08078",
    "kind": "arxiv",
    "version": 2
  }
}