Pith Number

pith:DIB75C6W

pith:2014:DIB75C6WHBKV4DQZTF57AD5XES

not attested not anchored not stored refs pending

Covering nearly surface-embedded graphs with a fixed number of balls

Erin Wolf Chambers, Glencora Borradaile

arxiv:1403.8086 v1 · 2014-03-31 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIB75C6WHBKV4DQZTF57AD5XES}

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	2026-05-18T02:55:11.848456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a03fe8bd638555e0e19997bf00fb724bb0bb903fc414f0cbbb2788c9f8088bb

Aliases

arxiv: 1403.8086 · arxiv_version: 1403.8086v1 · doi: 10.48550/arxiv.1403.8086 · pith_short_12: DIB75C6WHBKV · pith_short_16: DIB75C6WHBKV4DQZ · pith_short_8: DIB75C6W

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/DIB75C6WHBKV4DQZTF57AD5XES \
  | 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: 1a03fe8bd638555e0e19997bf00fb724bb0bb903fc414f0cbbb2788c9f8088bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c2699fe104ce1e609a77b105a2876a747d76729f284f60f559f09bd539db1ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2014-03-31T16:57:36Z",
    "title_canon_sha256": "27a2460cda65f978cb7cd6df66cbf7c1784ae143e4c2cc6fe8290b090c35cfcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.8086",
    "kind": "arxiv",
    "version": 1
  }
}