Pith Number

pith:STPUEJGT

pith:2007:STPUEJGTEDXNYELLNGDJBRTYL4

not attested not anchored not stored refs pending

On the Obfuscation Complexity of Planar Graphs

Oleg Verbitsky

arxiv:0705.3748 v3 · 2007-05-25 · cs.DM · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{STPUEJGTEDXNYELLNGDJBRTYL4}

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	2026-05-18T04:09:16.477677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94df4224d320eedc116b698690c6785f384e535a28f9ce61d0a1c342f82886de

Aliases

arxiv: 0705.3748 · arxiv_version: 0705.3748v3 · doi: 10.48550/arxiv.0705.3748 · pith_short_12: STPUEJGTEDXN · pith_short_16: STPUEJGTEDXNYELL · pith_short_8: STPUEJGT

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/STPUEJGTEDXNYELLNGDJBRTYL4 \
  | 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: 94df4224d320eedc116b698690c6785f384e535a28f9ce61d0a1c342f82886de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6396d2135f8f336a7b7676245668ca8ff2556a50c36e74b503004688e88397",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "cs.DM",
    "submitted_at": "2007-05-25T11:19:03Z",
    "title_canon_sha256": "b992ac3f871ddc1141ac6446b9238980707f24100dff4a59fd3ff4d69b3c9460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3748",
    "kind": "arxiv",
    "version": 3
  }
}