Pith Number

pith:P3PR4SBE

pith:2019:P3PR4SBE2SGJQRAUBSYC6BHM3H

not attested not anchored not stored refs pending

Derived category of Finite Spaces and Grothendieck Duality

Fernando Sancho de Salas, Juan Francisco Torres Sancho

arxiv:1904.06935 v1 · 2019-04-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3PR4SBE2SGJQRAUBSYC6BHM3H}

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	2026-05-17T23:48:35.736920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7edf1e4824d48c9844140cb02f04ecd9fb83a5de81f67dea96d0f7f19cba49db

Aliases

arxiv: 1904.06935 · arxiv_version: 1904.06935v1 · doi: 10.48550/arxiv.1904.06935 · pith_short_12: P3PR4SBE2SGJ · pith_short_16: P3PR4SBE2SGJQRAU · pith_short_8: P3PR4SBE

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/P3PR4SBE2SGJQRAUBSYC6BHM3H \
  | 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: 7edf1e4824d48c9844140cb02f04ecd9fb83a5de81f67dea96d0f7f19cba49db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcbc3b308e27d9fb2866c5fb671c570a7c7366c36b38a38ab6ae42ad796baed7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-15T09:51:55Z",
    "title_canon_sha256": "96de4f3a56a89361f84c01e205b803c9f43b4f830b9b79668978eb4d16119c47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06935",
    "kind": "arxiv",
    "version": 1
  }
}