Pith Number

pith:ED5SJH2P

pith:2019:ED5SJH2PRC7GTU5RG5Y6AM5JM2

not attested not anchored not stored refs pending

Grothendieck Duality and Transitivity II: Traces and Residues via Verdier's isomorphism

Pramathanath Sastry, Suresh Nayak

arxiv:1903.01783 v2 · 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{ED5SJH2PRC7GTU5RG5Y6AM5JM2}

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	2026-05-17T23:50:40.590798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20fb249f4f88be69d3b13771e033a96684c442b85d01e0cab091f1ca82f85410

Aliases

arxiv: 1903.01783 · arxiv_version: 1903.01783v2 · doi: 10.48550/arxiv.1903.01783 · pith_short_12: ED5SJH2PRC7G · pith_short_16: ED5SJH2PRC7GTU5R · pith_short_8: ED5SJH2P

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/ED5SJH2PRC7GTU5RG5Y6AM5JM2 \
  | 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: 20fb249f4f88be69d3b13771e033a96684c442b85d01e0cab091f1ca82f85410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc9fb0becb6980103153dd714fda3cede02b3db9bf1fee13d82fc4e2e071932a",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-05T12:22:31Z",
    "title_canon_sha256": "3ce1be4894b983c5ecbd275911d866174ff4a1b90e00c7f70561094db2041828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01783",
    "kind": "arxiv",
    "version": 2
  }
}