Pith Number

pith:GEOBO6JE

pith:2007:GEOBO6JEXNFSLXIXONKCEL5RT3

not attested not anchored not stored refs pending

Formality of DG algebras (after Kaledin)

Valery A. Lunts

arxiv:0712.0996 v4 · 2007-12-06 · 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{GEOBO6JEXNFSLXIXONKCEL5RT3}

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	2026-07-04T15:49:44.655919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

311c177924bb4b25dd177354222fb19eefb305ed401fd7d3a3de9bb0891e70ca

Aliases

arxiv: 0712.0996 · arxiv_version: 0712.0996v4 · doi: 10.48550/arxiv.0712.0996 · pith_short_12: GEOBO6JEXNFS · pith_short_16: GEOBO6JEXNFSLXIX · pith_short_8: GEOBO6JE

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/GEOBO6JEXNFSLXIXONKCEL5RT3 \
  | 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: 311c177924bb4b25dd177354222fb19eefb305ed401fd7d3a3de9bb0891e70ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cc06e8e518d6bb5ee4ca631a5850cf481156bd225bc533e9faa2468e92fd6e8",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-12-06T18:41:58Z",
    "title_canon_sha256": "63ecd7a61bceb74b8b91ee7470fab373a423095790b771e2e5f833869d86e9a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0996",
    "kind": "arxiv",
    "version": 4
  }
}