Pith Number

pith:V2DSGVH2

pith:2021:V2DSGVH26TYNRAPZDVAFR5JVXW

not attested not anchored not stored refs pending

Quillen equivalences inducing Grothendieck duality for unbounded chain complexes of sheaves

James Gillespie, Sergio Estrada

arxiv:2104.10783 v2 · 2021-04-21 · math.AT · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2DSGVH26TYNRAPZDVAFR5JVXW}

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	2026-07-05T03:12:03.429748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae872354faf4f0d881f91d4058f535bdbb9fbbfa5bb75613e21edb705b8fb174

Aliases

arxiv: 2104.10783 · arxiv_version: 2104.10783v2 · doi: 10.48550/arxiv.2104.10783 · pith_short_12: V2DSGVH26TYN · pith_short_16: V2DSGVH26TYNRAPZ · pith_short_8: V2DSGVH2

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/V2DSGVH26TYNRAPZDVAFR5JVXW \
  | 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: ae872354faf4f0d881f91d4058f535bdbb9fbbfa5bb75613e21edb705b8fb174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c064b6a3bb78303c3170bd61b6eac6065ed39463887554471c575bc11d35fa45",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-04-21T22:29:58Z",
    "title_canon_sha256": "cc9c70e4028455d7a10e6163b07367e36231e6fc05e9aba051c1d3628fcac90c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.10783",
    "kind": "arxiv",
    "version": 2
  }
}