Pith Number

pith:HAJMKKM6

pith:2007:HAJMKKM63FXUVDEGOOSRYIBVYF

not attested not anchored not stored refs pending

An explicit construction of the Quillen homotopical category of dg Lie algebras

Boris Shoikhet

arxiv:0706.1333 v1 · 2007-06-09 · math.KT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAJMKKM63FXUVDEGOOSRYIBVYF}

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	2026-07-04T15:01:44.816902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3812c5299ed96f4a8c8673a51c2035c14af6a0a94e7d75283a400bdfca3dbed5

Aliases

arxiv: 0706.1333 · arxiv_version: 0706.1333v1 · doi: 10.48550/arxiv.0706.1333 · pith_short_12: HAJMKKM63FXU · pith_short_16: HAJMKKM63FXUVDEG · pith_short_8: HAJMKKM6

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/HAJMKKM63FXUVDEGOOSRYIBVYF \
  | 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: 3812c5299ed96f4a8c8673a51c2035c14af6a0a94e7d75283a400bdfca3dbed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ebe17d21c97a60094d2ef6486bd1f085f56d39251e1b066fcc1f2e0a6a90381",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2007-06-09T23:55:50Z",
    "title_canon_sha256": "6291a8e0dd5c3801b14ac3adcc123dd3c976bf6d82ebe8f57e73746f612b284f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1333",
    "kind": "arxiv",
    "version": 1
  }
}