Pith Number

pith:RFPYNK77

pith:2015:RFPYNK77R5RKK4RWTQHOOMHZSS

not attested not anchored not stored refs pending

Coloring curves that cross a fixed curve

Alexandre Rok, Bartosz Walczak

arxiv:1512.06112 v5 · 2015-12-18 · math.CO · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFPYNK77R5RKK4RWTQHOOMHZSS}

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	2026-05-18T00:33:44.248563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

895f86abff8f62a572369c0ee730f994bc18496a8d6df356ceb8294db6fcfe99

Aliases

arxiv: 1512.06112 · arxiv_version: 1512.06112v5 · doi: 10.48550/arxiv.1512.06112 · pith_short_12: RFPYNK77R5RK · pith_short_16: RFPYNK77R5RKK4RW · pith_short_8: RFPYNK77

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/RFPYNK77R5RKK4RWTQHOOMHZSS \
  | 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: 895f86abff8f62a572369c0ee730f994bc18496a8d6df356ceb8294db6fcfe99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694bf370dec05a6083d967f7f773b99d641256e12798057239ed02900fcae413",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-18T20:53:12Z",
    "title_canon_sha256": "2e5d87828f542613a958bf4b632a16ab5cb42494ba95f9815d605572c411a853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06112",
    "kind": "arxiv",
    "version": 5
  }
}