Pith Number

pith:E3GBILYB

pith:2013:E3GBILYBTSZQNLBLVYSUKZIDT2

not attested not anchored not stored refs pending

Chow groups of tensor triangulated categories

Sebastian Klein

arxiv:1301.0707 v3 · 2013-01-04 · math.AG · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3GBILYBTSZQNLBLVYSUKZIDT2}

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	2026-05-18T01:31:21.685408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26cc142f019cb306ac2bae254565039eb4a4cc92453e4f03b87272d4c3137842

Aliases

arxiv: 1301.0707 · arxiv_version: 1301.0707v3 · doi: 10.48550/arxiv.1301.0707 · pith_short_12: E3GBILYBTSZQ · pith_short_16: E3GBILYBTSZQNLBL · pith_short_8: E3GBILYB

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/E3GBILYBTSZQNLBLVYSUKZIDT2 \
  | 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: 26cc142f019cb306ac2bae254565039eb4a4cc92453e4f03b87272d4c3137842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b8997a9addf3859658ca9a6c6f067b1a619e7d04fc691b8e2265fd49d8426b",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-04T11:06:40Z",
    "title_canon_sha256": "4d127a1acf7765132a041121af5647ae3d5fbcafde4958ae6be9b48ae9269c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0707",
    "kind": "arxiv",
    "version": 3
  }
}