Pith Number

pith:FYXE5AE3

pith:2017:FYXE5AE3MDKN6CZMKDWHW4HS7Z

not attested not anchored not stored refs pending

Contracting a Planar Graph Efficiently

Adam Karczmarz, Eva Rotenberg, Giuseppe F. Italiano, Jacob Holm, Jakub {\L}\k{a}cki, Piotr Sankowski

arxiv:1706.10228 v1 · 2017-06-30 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYXE5AE3MDKN6CZMKDWHW4HS7Z}

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	2026-05-18T00:41:09.056932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e2e4e809b60d4df0b2c50ec7b70f2fe5bea2fdc5cb6700c553df6bf99704327

Aliases

arxiv: 1706.10228 · arxiv_version: 1706.10228v1 · doi: 10.48550/arxiv.1706.10228 · pith_short_12: FYXE5AE3MDKN · pith_short_16: FYXE5AE3MDKN6CZM · pith_short_8: FYXE5AE3

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/FYXE5AE3MDKN6CZMKDWHW4HS7Z \
  | 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: 2e2e4e809b60d4df0b2c50ec7b70f2fe5bea2fdc5cb6700c553df6bf99704327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "086445fce11a33497faaa4a93176c1916fdc8dd927eb1be7b2ca1aabbbc482e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-06-30T14:54:41Z",
    "title_canon_sha256": "917baec8785a9fc1fa1939ad376cb78e8f83708d0f611d0926dee506d9f499cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10228",
    "kind": "arxiv",
    "version": 1
  }
}