Pith Number

pith:HLUSAPYE

pith:2018:HLUSAPYECU6LKSANB3PWM467MD

not attested not anchored not stored refs pending

Eulerian edge refinements, geodesics, billiards and sphere coloring

Oliver Knill

arxiv:1808.07207 v1 · 2018-08-22 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLUSAPYECU6LKSANB3PWM467MD}

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	2026-05-18T00:07:29.573405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ae9203f04153cb5480d0edf6673df60fc6b66f79d647d2066b5b6104d4ccda3

Aliases

arxiv: 1808.07207 · arxiv_version: 1808.07207v1 · doi: 10.48550/arxiv.1808.07207 · pith_short_12: HLUSAPYECU6L · pith_short_16: HLUSAPYECU6LKSAN · pith_short_8: HLUSAPYE

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/HLUSAPYECU6LKSANB3PWM467MD \
  | 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: 3ae9203f04153cb5480d0edf6673df60fc6b66f79d647d2066b5b6104d4ccda3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21fa6f44f4d744c4549bc5b277ab0736bc8cdafc33e2df93df71386fb278bb87",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-08-22T03:38:42Z",
    "title_canon_sha256": "36869e669d74e26387b6189966011eb945104ad6c3ca76f8cd6a1823629c8772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07207",
    "kind": "arxiv",
    "version": 1
  }
}