Pith Number

pith:3PKQQGRW

pith:2014:3PKQQGRW6DRR2BTRSX6OSSBCPQ

not attested not anchored not stored refs pending

Homology of non-$k$-overlapping discs

Natalia Dobrinskaya, Victor Tourtchine

arxiv:1403.0881 v1 · 2014-03-04 · math.AT · math.CO · 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{3PKQQGRW6DRR2BTRSX6OSSBCPQ}

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	2026-05-18T02:57:15.393115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd5081a36f0e31d067195fce948227c10c3b1de089b9e4b1fed2af51e0d26ba

Aliases

arxiv: 1403.0881 · arxiv_version: 1403.0881v1 · doi: 10.48550/arxiv.1403.0881 · pith_short_12: 3PKQQGRW6DRR · pith_short_16: 3PKQQGRW6DRR2BTR · pith_short_8: 3PKQQGRW

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/3PKQQGRW6DRR2BTRSX6OSSBCPQ \
  | 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: dbd5081a36f0e31d067195fce948227c10c3b1de089b9e4b1fed2af51e0d26ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3f154afda5c32410180ccc99940ff9af578909dc17571cafc5bce76e60dcb7",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-03-04T18:22:02Z",
    "title_canon_sha256": "e617902f277ff2bbca1b431412fa7f6f4fea0757ec6ea4c9e8e68367cd6f6144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0881",
    "kind": "arxiv",
    "version": 1
  }
}