Pith Number

pith:BWDNUNZY

pith:2013:BWDNUNZY56R4GMQFIJIF5INCFD

not attested not anchored not stored refs pending

Tannaka duality for enhanced triangulated categories II: $t$-structures and homotopy types

J.P.Pridham

arxiv:1309.0637 v6 · 2013-09-03 · math.KT · math.AG · math.AT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWDNUNZY56R4GMQFIJIF5INCFD}

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	2026-05-17T23:57:19.874870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d86da3738efa3c3320542505ea1a228ec3230ac263a183272d08d527eb0b1d3

Aliases

arxiv: 1309.0637 · arxiv_version: 1309.0637v6 · doi: 10.48550/arxiv.1309.0637 · pith_short_12: BWDNUNZY56R4 · pith_short_16: BWDNUNZY56R4GMQF · pith_short_8: BWDNUNZY

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/BWDNUNZY56R4GMQFIJIF5INCFD \
  | 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: 0d86da3738efa3c3320542505ea1a228ec3230ac263a183272d08d527eb0b1d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e57de533e22cea200cd4e8ed44f5c20c6042a5a7da2f7461b423c7d489c63f2a",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-09-03T10:45:33Z",
    "title_canon_sha256": "39c76c480328cc35dae957cf048070b3758aa911f6e325fc728b7ddab55064de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0637",
    "kind": "arxiv",
    "version": 6
  }
}