Pith Number

pith:YD5RAJWM

pith:2010:YD5RAJWMV2OYIOX4WER6LMIRKZ

not attested not anchored not stored refs pending

Edge-intersection graphs of grid paths: the bend-number

Daniel Heldt, Kolja Knauer, Torsten Ueckerdt

arxiv:1009.2861 v3 · 2010-09-15 · math.CO · 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{YD5RAJWMV2OYIOX4WER6LMIRKZ}

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	2026-05-18T03:48:34.455109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0fb1026ccae9d843afcb123e5b111565caf8bab05b32357d546ed2d021a8681

Aliases

arxiv: 1009.2861 · arxiv_version: 1009.2861v3 · doi: 10.48550/arxiv.1009.2861 · pith_short_12: YD5RAJWMV2OY · pith_short_16: YD5RAJWMV2OYIOX4 · pith_short_8: YD5RAJWM

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/YD5RAJWMV2OYIOX4WER6LMIRKZ \
  | 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: c0fb1026ccae9d843afcb123e5b111565caf8bab05b32357d546ed2d021a8681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff1e76033eaca251918a6b74d51e4891da3e2e8ae32bee865524596d0b9faf1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-15T08:27:14Z",
    "title_canon_sha256": "c8849b63e85ecd9c47cdb7aa5e60a17be77696d04d9ffbdf9c3d383ece7dfad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2861",
    "kind": "arxiv",
    "version": 3
  }
}