Pith Number

pith:LXH5B4C5

pith:2010:LXH5B4C5AS2ZSMKXIHEO4R4ZI5

not attested not anchored not stored refs pending

Congestion in planar graphs with demands on faces

Christophe Weibel, Guyslain Naves

arxiv:1008.3653 v1 · 2010-08-21 · 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{LXH5B4C5AS2ZSMKXIHEO4R4ZI5}

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	2026-05-18T04:41:55.420458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dcfd0f05d04b599315741c8ee4799476b13ec4dbc92254c30078ebac0cb0a20

Aliases

arxiv: 1008.3653 · arxiv_version: 1008.3653v1 · doi: 10.48550/arxiv.1008.3653 · pith_short_12: LXH5B4C5AS2Z · pith_short_16: LXH5B4C5AS2ZSMKX · pith_short_8: LXH5B4C5

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/LXH5B4C5AS2ZSMKXIHEO4R4ZI5 \
  | 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: 5dcfd0f05d04b599315741c8ee4799476b13ec4dbc92254c30078ebac0cb0a20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f950afe7abb5974584cadf90888c52871d498d63085df335e05c41d4487d51a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-08-21T18:33:43Z",
    "title_canon_sha256": "befd41e0b5c22af9aca3fe8a658a5f40f440b2d3908eb35f796919e2c90e25d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3653",
    "kind": "arxiv",
    "version": 1
  }
}