Pith Number

pith:6BAJV63B

pith:2012:6BAJV63BQ2ESU5KUYOM5Z7LCPL

not attested not anchored not stored refs pending

The bondage number of graphs on topological surfaces and Teschner's conjecture

Andrei Gagarin, Vadim Zverovich

arxiv:1209.1362 v1 · 2012-09-06 · math.CO · 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{6BAJV63BQ2ESU5KUYOM5Z7LCPL}

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	2026-05-18T02:48:17.964848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0409afb6186892a7554c399dcfd627adecf224679362cf4be067caaa3fa11d8

Aliases

arxiv: 1209.1362 · arxiv_version: 1209.1362v1 · doi: 10.48550/arxiv.1209.1362 · pith_short_12: 6BAJV63BQ2ES · pith_short_16: 6BAJV63BQ2ESU5KU · pith_short_8: 6BAJV63B

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/6BAJV63BQ2ESU5KUYOM5Z7LCPL \
  | 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: f0409afb6186892a7554c399dcfd627adecf224679362cf4be067caaa3fa11d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a6e16a910e9da083567189d8a35a0391e6977cabf6fa8234db61eb0c50a80c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-06T18:34:01Z",
    "title_canon_sha256": "6709113367fb0bb183c2a46a6fb3dca4cc0f4c37bb0097820cd21aa307b9ade0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1362",
    "kind": "arxiv",
    "version": 1
  }
}