Pith Number

pith:YH4EQK3Y

pith:2007:YH4EQK3Y2VLFHNACZC2P3QCJB6

not attested not anchored not stored refs pending

A new Quillen model for the Morita homotopy theory of DG categories

Goncalo Tabuada

arxiv:math/0701205 v2 · 2007-01-07 · math.KT · 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{YH4EQK3Y2VLFHNACZC2P3QCJB6}

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

Derived skein module

Receipt and verification

First computed	2026-07-04T14:59:11.881034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f8482b78d55653b402c8b4fdc0490f8cfe76044246f6cc55338261447d7369

Aliases

arxiv: math/0701205 · arxiv_version: math/0701205v2 · doi: 10.48550/arxiv.math/0701205 · pith_short_12: YH4EQK3Y2VLF · pith_short_16: YH4EQK3Y2VLFHNAC · pith_short_8: YH4EQK3Y

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/YH4EQK3Y2VLFHNACZC2P3QCJB6 \
  | 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: c1f8482b78d55653b402c8b4fdc0490f8cfe76044246f6cc55338261447d7369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7731b16292b716cfc0d1fa1c837c36b86e4b6131eaac4c35fa3b281713a1d08f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2007-01-07T12:26:15Z",
    "title_canon_sha256": "8da8e53f7e14370cfb936a5931f3be3d6ad9ccf27deea25383d54070f521ebef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701205",
    "kind": "arxiv",
    "version": 2
  }
}