Pith Number

pith:PJ4H6EGV

pith:2016:PJ4H6EGVZEHCTTK3H246XY5H5H

not attested not anchored not stored refs pending

Shortest path embeddings of graphs on surfaces

Alfredo Hubard, Arnaud de Mesmay, Martin Tancer, Vojt\v{e}ch Kalu\v{z}a

arxiv:1602.06778 v3 · 2016-02-22 · cs.CG · cs.DM · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJ4H6EGVZEHCTTK3H246XY5H5H}

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	2026-05-18T00:36:41.486184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a787f10d5c90e29cd5b3eb9ebe3a7e9df0d2bf529e03f358c55a7c29d521380

Aliases

arxiv: 1602.06778 · arxiv_version: 1602.06778v3 · doi: 10.48550/arxiv.1602.06778 · pith_short_12: PJ4H6EGVZEHC · pith_short_16: PJ4H6EGVZEHCTTK3 · pith_short_8: PJ4H6EGV

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/PJ4H6EGVZEHCTTK3H246XY5H5H \
  | 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: 7a787f10d5c90e29cd5b3eb9ebe3a7e9df0d2bf529e03f358c55a7c29d521380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b474fdb75bb67df0f9c7f5d8cde87a5cde59b0725cf31acee5d8634119b6a4da",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-02-22T13:58:39Z",
    "title_canon_sha256": "c4a97bc9479cb0addb99c4f3b7f38d149522928a0ea0641a6849c6883e9a60c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06778",
    "kind": "arxiv",
    "version": 3
  }
}