Pith Number

pith:X46DEHS2

pith:2015:X46DEHS2ZLOWUVC6PZG3RYL3Y2

not attested not anchored not stored refs pending

Union of n Disks: Remote Centers, Common Origin

Steven Finch

arxiv:1511.04968 v1 · 2015-11-16 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X46DEHS2ZLOWUVC6PZG3RYL3Y2}

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	2026-05-18T01:26:51.164209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3c321e5acadd6a545e7e4db8e17bc6b546e09741f5967f0e6aef7b3135a3ee

Aliases

arxiv: 1511.04968 · arxiv_version: 1511.04968v1 · doi: 10.48550/arxiv.1511.04968 · pith_short_12: X46DEHS2ZLOW · pith_short_16: X46DEHS2ZLOWUVC6 · pith_short_8: X46DEHS2

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/X46DEHS2ZLOWUVC6PZG3RYL3Y2 \
  | 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: bf3c321e5acadd6a545e7e4db8e17bc6b546e09741f5967f0e6aef7b3135a3ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78cdadb4a54df336bd3f9675f57715667eb9df8036092efd16632bce0a39fd54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2015-11-16T14:23:57Z",
    "title_canon_sha256": "b095d41e90517b801f858fcb3ee2f4ac6262402a8b6da564b50675100e4191da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04968",
    "kind": "arxiv",
    "version": 1
  }
}