Pith Number

pith:PGZDCOJE

pith:2007:PGZDCOJEW7PLSBD42EUVUSY4KX

not attested not anchored not stored refs pending

Deformation theory of objects in homotopy and derived categories III: abelian categories

Alexander I. Efimov, Dmitri O. Orlov, Valery A. Lunts

arxiv:math/0702840 v3 · 2007-02-27 · math.AG · 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{PGZDCOJEW7PLSBD42EUVUSY4KX}

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	2026-05-18T00:08:24.497226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b2313924b7deb9047cd1295a4b1c55ef108f553670e4491033ed67ed9823fd

Aliases

arxiv: math/0702840 · arxiv_version: math/0702840v3 · doi: 10.48550/arxiv.math/0702840 · pith_short_12: PGZDCOJEW7PL · pith_short_16: PGZDCOJEW7PLSBD4 · pith_short_8: PGZDCOJE

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/PGZDCOJEW7PLSBD42EUVUSY4KX \
  | 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: 79b2313924b7deb9047cd1295a4b1c55ef108f553670e4491033ed67ed9823fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca5241c0d01702759b10698d5802e81496bbb1ebc45fed24b8ab364ffda530f5",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-02-27T15:31:33Z",
    "title_canon_sha256": "52fb1e6ae4706e992247eb3ec871f4c177e8672fd614175ef1d2efbe201e8e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702840",
    "kind": "arxiv",
    "version": 3
  }
}