Pith Number

pith:ZJXY5O3Z

pith:2011:ZJXY5O3Z54X4RUEPOP4NW6ALUN

not attested not anchored not stored refs pending

Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes

Bertrand To\"en, Gabriele Vezzosi, Timo Sch\"urg

arxiv:1102.1150 v4 · 2011-02-06 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJXY5O3Z54X4RUEPOP4NW6ALUN}

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	2026-05-18T04:09:36.369996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6f8ebb79ef2fc8d08f73f8db780ba36d8c4fa9e9ddc3a8649ca6bbdc388f0d

Aliases

arxiv: 1102.1150 · arxiv_version: 1102.1150v4 · doi: 10.48550/arxiv.1102.1150 · pith_short_12: ZJXY5O3Z54X4 · pith_short_16: ZJXY5O3Z54X4RUEP · pith_short_8: ZJXY5O3Z

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/ZJXY5O3Z54X4RUEPOP4NW6ALUN \
  | 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: ca6f8ebb79ef2fc8d08f73f8db780ba36d8c4fa9e9ddc3a8649ca6bbdc388f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "115a230256a99edca61759476d78f29572e18bbd94f8195344e432b96ff6458b",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-06T13:51:18Z",
    "title_canon_sha256": "f81bbad7e548ba865ed73268e7c60caa4e7caeefd1ccefc0c3ab856aec5e45c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1150",
    "kind": "arxiv",
    "version": 4
  }
}