Pith Number

pith:JXYVEWAO

pith:2007:JXYVEWAOBMIUCSLA5PZPO6VR5S

not attested not anchored not stored refs pending

Derived Algebraic Geometry IV: Deformation Theory

Jacob Lurie

arxiv:0709.3091 v2 · 2007-09-19 · 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{JXYVEWAOBMIUCSLA5PZPO6VR5S}

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

Noncommutative Cartier Formulae

Receipt and verification

First computed	2026-07-04T15:42:05.168718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df152580e0b11414960ebf2f77ab1ecb43eb1d0b0bcdf9d9cefe6e1a2998f6f

Aliases

arxiv: 0709.3091 · arxiv_version: 0709.3091v2 · doi: 10.48550/arxiv.0709.3091 · pith_short_12: JXYVEWAOBMIU · pith_short_16: JXYVEWAOBMIUCSLA · pith_short_8: JXYVEWAO

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/JXYVEWAOBMIUCSLA5PZPO6VR5S \
  | 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: 4df152580e0b11414960ebf2f77ab1ecb43eb1d0b0bcdf9d9cefe6e1a2998f6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e36e5be804297464b2bb1b4bfe207b44f8960f93e25ef8c653730bacb6ad915c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-09-19T19:12:27Z",
    "title_canon_sha256": "ff38235416ed1fed7b3f33b3d113a6b5eacd3bb4b2142add225f90fddd6708e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3091",
    "kind": "arxiv",
    "version": 2
  }
}