Pith Number

pith:AFBPTUOC

pith:2009:AFBPTUOC4VRPZ4MK5WH4DGF6VO

not attested not anchored not stored refs pending

Derived Algebraic Geometry VI: E_k Algebras

Jacob Lurie

arxiv:0911.0018 v1 · 2009-10-30 · 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{AFBPTUOC4VRPZ4MK5WH4DGF6VO}

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

Universal Properties of Variations of the Little Cubes Operads

Receipt and verification

First computed	2026-07-04T16:21:34.829787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0142f9d1c2e562fcf18aed8fc198beabb2571683a85153666e86c1ac63ed03be

Aliases

arxiv: 0911.0018 · arxiv_version: 0911.0018v1 · doi: 10.48550/arxiv.0911.0018 · pith_short_12: AFBPTUOC4VRP · pith_short_16: AFBPTUOC4VRPZ4MK · pith_short_8: AFBPTUOC

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/AFBPTUOC4VRPZ4MK5WH4DGF6VO \
  | 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: 0142f9d1c2e562fcf18aed8fc198beabb2571683a85153666e86c1ac63ed03be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed5897e7e3eec4073497e3b6db577ada4557a9b63d122afec357b74495c3bf3",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-10-30T20:55:35Z",
    "title_canon_sha256": "509182275097de935ba8334fea5231cc77fcca730e8289fe5bd766d937c72212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0018",
    "kind": "arxiv",
    "version": 1
  }
}