Pith Number

pith:IX7NQLYD

pith:2005:IX7NQLYDPTJYNCHWBA6SGKK3SC

not attested not anchored not stored refs pending

Heller triangulated categories

Matthias Kuenzer

arxiv:math/0508565 v6 · 2005-08-29 · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IX7NQLYDPTJYNCHWBA6SGKK3SC}

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	2026-05-18T04:41:04.155958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45fed82f037cd38688f6083d23295b90bc19d0452b5413a3a9c1914b3c858d0c

Aliases

arxiv: math/0508565 · arxiv_version: math/0508565v6 · doi: 10.48550/arxiv.math/0508565 · pith_short_12: IX7NQLYDPTJY · pith_short_16: IX7NQLYDPTJYNCHW · pith_short_8: IX7NQLYD

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/IX7NQLYDPTJYNCHWBA6SGKK3SC \
  | 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: 45fed82f037cd38688f6083d23295b90bc19d0452b5413a3a9c1914b3c858d0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f503ec75dee4d81cd0149d47305cafac65bd4c1ddbff8ea98fca343d26deb2a4",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2005-08-29T13:48:32Z",
    "title_canon_sha256": "ab6161107330bc7e18c49c1fd2c72e65588a094702f4a138104df78261b17a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508565",
    "kind": "arxiv",
    "version": 6
  }
}