Pith Number

pith:5KEYOHF4

pith:2014:5KEYOHF4K5VPYLUSCYOTHRGGLP

not attested not anchored not stored refs pending

Halving Balls in Deterministic Linear Time

Michael Hoffmann, Tillmann Miltzow, Vincent Kusters

arxiv:1405.1894 v1 · 2014-05-08 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KEYOHF4K5VPYLUSCYOTHRGGLP}

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	2026-05-18T02:52:15.214051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea89871cbc576afc2e92161d33c4c65be39a8a9b744a9aa86be9ea64cfd9ba1d

Aliases

arxiv: 1405.1894 · arxiv_version: 1405.1894v1 · doi: 10.48550/arxiv.1405.1894 · pith_short_12: 5KEYOHF4K5VP · pith_short_16: 5KEYOHF4K5VPYLUS · pith_short_8: 5KEYOHF4

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/5KEYOHF4K5VPYLUSCYOTHRGGLP \
  | 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: ea89871cbc576afc2e92161d33c4c65be39a8a9b744a9aa86be9ea64cfd9ba1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae27c86cbfeb60d3eaccd49bb7604cd851bc2e3a1d74ce6065f1726086af9f87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2014-05-08T11:47:51Z",
    "title_canon_sha256": "b1d637396217a65f5ea5d8cac259eee8d80145af6a380e41b2d3e0ddebed5125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1894",
    "kind": "arxiv",
    "version": 1
  }
}