Pith Number

pith:Z6TD5ZR7

pith:2026:Z6TD5ZR7LMSCQODI4G3HEZULDV

not attested not anchored not stored refs pending

Dualizing complexes and $t$-structures for algebraic stacks

Pat Lank

arxiv:2602.20742 v3 · 2026-02-24 · 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{Z6TD5ZR7LMSCQODI4G3HEZULDV}

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	2026-07-17T01:21:46.364441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa63ee63f5b24283868e1b672668b1d68f096c0d8546f97c22f510d2febcf79

Aliases

arxiv: 2602.20742 · arxiv_version: 2602.20742v3 · doi: 10.48550/arxiv.2602.20742 · pith_short_12: Z6TD5ZR7LMSC · pith_short_16: Z6TD5ZR7LMSCQODI · pith_short_8: Z6TD5ZR7

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/Z6TD5ZR7LMSCQODI4G3HEZULDV \
  | 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: cfa63ee63f5b24283868e1b672668b1d68f096c0d8546f97c22f510d2febcf79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "767ab2ba67e0219b7bc900ce89091aed2292ee44f53da9a50a7866d28c44bd1e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-02-24T10:12:21Z",
    "title_canon_sha256": "0ebbca540ddeef99657fb2f17cadaa9df65a7eeebca7441e0103805c04938138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.20742",
    "kind": "arxiv",
    "version": 3
  }
}