Pith Number

pith:PT7LCTH6

pith:2016:PT7LCTH6YI3ZNP4LL5XAV4GI7W

not attested not anchored not stored refs pending

Triangulated endofunctors of the derived category of coherent sheaves which do not admit DG liftings

Vadim Vologodsky

arxiv:1604.08662 v1 · 2016-04-29 · 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{PT7LCTH6YI3ZNP4LL5XAV4GI7W}

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	2026-05-18T01:16:03.186738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfeb14cfec23796bf8b5f6e0af0c8fdafe0e593ce9eb0e88939cca0fc5c084a

Aliases

arxiv: 1604.08662 · arxiv_version: 1604.08662v1 · doi: 10.48550/arxiv.1604.08662 · pith_short_12: PT7LCTH6YI3Z · pith_short_16: PT7LCTH6YI3ZNP4L · pith_short_8: PT7LCTH6

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/PT7LCTH6YI3ZNP4LL5XAV4GI7W \
  | 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: 7cfeb14cfec23796bf8b5f6e0af0c8fdafe0e593ce9eb0e88939cca0fc5c084a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ec61176e842a94193f79c7156e4946030029cc7eacc6d32f5e72e6de365087",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-29T01:01:00Z",
    "title_canon_sha256": "db16f07451c94759633fc42ab5bf568ece603d583edbaded9eaa1e6138f9fb49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08662",
    "kind": "arxiv",
    "version": 1
  }
}