Pith Number

pith:NPT265GO

pith:2019:NPT265GO476O2RV4DZYGT76ND2

not attested not anchored not stored refs pending

Grothendieck Duality and Transitivity I: Formal Schemes

Pramathanath Sastry, Suresh Nayak

arxiv:1903.01779 v3 · 2019-03-05 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPT265GO476O2RV4DZYGT76ND2}

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	2026-05-17T23:46:09.054338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be7af74cee7fced46bc1e7069ffcd1ea9ffd3babd876bfa0837df06fd0f2c64

Aliases

arxiv: 1903.01779 · arxiv_version: 1903.01779v3 · doi: 10.48550/arxiv.1903.01779 · pith_short_12: NPT265GO476O · pith_short_16: NPT265GO476O2RV4 · pith_short_8: NPT265GO

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/NPT265GO476O2RV4DZYGT76ND2 \
  | 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: 6be7af74cee7fced46bc1e7069ffcd1ea9ffd3babd876bfa0837df06fd0f2c64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d063f087379d8f983253b36d85198ae4eb1adda6082970d338473570d68fe2ff",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-05T12:07:31Z",
    "title_canon_sha256": "fbfcecddc369d13d786d1a31d88024cbec234a84a06c97a9e4343536c37defa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01779",
    "kind": "arxiv",
    "version": 3
  }
}