Pith Number

pith:PHFRJP4V

pith:2015:PHFRJP4VYQQMWRMHYWF6YKFKE7

not attested not anchored not stored refs pending

Six operations on dg enhancements of derived categories of sheaves

Olaf M. Schn\"urer

arxiv:1507.08697 v3 · 2015-07-30 · 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{PHFRJP4VYQQMWRMHYWF6YKFKE7}

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	2026-05-18T00:26:30.941196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79cb14bf95c420cb4587c58bec28aa27e7e92de5dbb4d933d035f1f2763c7bdb

Aliases

arxiv: 1507.08697 · arxiv_version: 1507.08697v3 · doi: 10.48550/arxiv.1507.08697 · pith_short_12: PHFRJP4VYQQM · pith_short_16: PHFRJP4VYQQMWRMH · pith_short_8: PHFRJP4V

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/PHFRJP4VYQQMWRMHYWF6YKFKE7 \
  | 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: 79cb14bf95c420cb4587c58bec28aa27e7e92de5dbb4d933d035f1f2763c7bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31db171e5019b493c86d9ea1efd6876cb73bcf689b0b6ab2792b116583085ece",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-30T21:58:23Z",
    "title_canon_sha256": "22aa9cdf72b4e9e2bdb33a8911880b3781ec63c8cfcf15bc6f2d91731a116c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08697",
    "kind": "arxiv",
    "version": 3
  }
}