Pith Number

pith:6KG55ME7

pith:2010:6KG55ME7LYJNFU3HWIHGGVN3E6

not attested not anchored not stored refs pending

A note on the cotangent complex in derived algebraic geometry

Gabriele Vezzosi

arxiv:1008.0601 v3 · 2010-08-03 · math.AG · 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{6KG55ME7LYJNFU3HWIHGGVN3E6}

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	2026-05-18T04:41:27.174529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f28ddeb09f5e12d2d367b20e6355bb27b8b0c04ecb95b3a777e09f2710638481

Aliases

arxiv: 1008.0601 · arxiv_version: 1008.0601v3 · doi: 10.48550/arxiv.1008.0601 · pith_short_12: 6KG55ME7LYJN · pith_short_16: 6KG55ME7LYJNFU3H · pith_short_8: 6KG55ME7

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/6KG55ME7LYJNFU3HWIHGGVN3E6 \
  | 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: f28ddeb09f5e12d2d367b20e6355bb27b8b0c04ecb95b3a777e09f2710638481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f22688e12b7437fc86f846e332e6a650a22919e06cce8b944acc5c246402ba",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-03T17:33:49Z",
    "title_canon_sha256": "3d4c3f4bfe795cb4ae24cb924939e2b91d6a4f0d1cba7c0bee909030f1ab514b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0601",
    "kind": "arxiv",
    "version": 3
  }
}