Pith Number

pith:DGHNBJYW

pith:2013:DGHNBJYW7FBUHPYRZFEXK5LQWI

not attested not anchored not stored refs pending

Shrinking of toroidal decomposition spaces

Daniel Kasprowski, Mark Powell

arxiv:1307.0154 v3 · 2013-06-29 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGHNBJYW7FBUHPYRZFEXK5LQWI}

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	2026-05-18T00:36:48.227584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

198ed0a716f94343bf11c949757570b227277cd85fdd6ab4890a2b15771e9f92

Aliases

arxiv: 1307.0154 · arxiv_version: 1307.0154v3 · doi: 10.48550/arxiv.1307.0154 · pith_short_12: DGHNBJYW7FBU · pith_short_16: DGHNBJYW7FBUHPYR · pith_short_8: DGHNBJYW

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/DGHNBJYW7FBUHPYRZFEXK5LQWI \
  | 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: 198ed0a716f94343bf11c949757570b227277cd85fdd6ab4890a2b15771e9f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1077fe7d9734b441ad5c96eaf89d12592061f274b0de1a0e2e20c592a6594571",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-06-29T22:02:48Z",
    "title_canon_sha256": "84269f76e28f623553ec703d98c9faa0e3f9c1c89740ff7b5f20025533d75599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0154",
    "kind": "arxiv",
    "version": 3
  }
}