Pith Number

pith:H7FXFV4Q

pith:2017:H7FXFV4QZUAT3ZYFG7QVIDON7K

not attested not anchored not stored refs pending

Embeddability of arrangements of pseudocircles and graphs on surfaces

Carolina Medina, Edgardo Rold\'an-Pensado, \'Eric Colin de Verdi\`ere, Gelasio Salazar

arxiv:1704.07688 v2 · 2017-04-25 · math.CO · cs.CG · 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{H7FXFV4QZUAT3ZYFG7QVIDON7K}

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	2026-07-05T00:07:20.095368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fcb72d790cd013de70537e1540dcdfaaf0eda4fce3cbc47f527ae6cc168efdd

Aliases

arxiv: 1704.07688 · arxiv_version: 1704.07688v2 · doi: 10.48550/arxiv.1704.07688 · pith_short_12: H7FXFV4QZUAT · pith_short_16: H7FXFV4QZUAT3ZYF · pith_short_8: H7FXFV4Q

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/H7FXFV4QZUAT3ZYFG7QVIDON7K \
  | 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: 3fcb72d790cd013de70537e1540dcdfaaf0eda4fce3cbc47f527ae6cc168efdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12cabcb0cd0e1eba27cbd5c52702c2f0d4e4b8f3c725fefb7531090f07b8f314",
    "cross_cats_sorted": [
      "cs.CG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-25T13:33:57Z",
    "title_canon_sha256": "0c47fa5de26b3e57ed3d918a29cd2212782a3156e49b9fdb00c4c1d3bb92d6d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07688",
    "kind": "arxiv",
    "version": 2
  }
}