Pith Number

pith:JSZNBAMQ

pith:2010:JSZNBAMQLAFJ5LEE75GAN5EREA

not attested not anchored not stored refs pending

Triangular spectrum of some triangulated categories

Umesh V. Dubey, Vivek M. Mallick

arxiv:1012.0789 v3 · 2010-12-03 · 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{JSZNBAMQLAFJ5LEE75GAN5EREA}

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	2026-05-18T04:23:12.997444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb2d08190580a9eac84ff4c06f4912032d5bb513c72ff38ad7eb4bf65fdaaee

Aliases

arxiv: 1012.0789 · arxiv_version: 1012.0789v3 · doi: 10.48550/arxiv.1012.0789 · pith_short_12: JSZNBAMQLAFJ · pith_short_16: JSZNBAMQLAFJ5LEE · pith_short_8: JSZNBAMQ

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/JSZNBAMQLAFJ5LEE75GAN5EREA \
  | 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: 4cb2d08190580a9eac84ff4c06f4912032d5bb513c72ff38ad7eb4bf65fdaaee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "104484e9a8f79d4e46ddf4b90d8a035902f730a3a34fe650859e41c9f19ee516",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-03T17:06:48Z",
    "title_canon_sha256": "189e8c177fbeb0af6d5ae9bdfe68e487f08a715c995d706037da7322a36791e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0789",
    "kind": "arxiv",
    "version": 3
  }
}