Pith Number

pith:Q6SDDVVJ

pith:2016:Q6SDDVVJJGNH4Z4EKW5TBHE32A

not attested not anchored not stored refs pending

Boundary Measurement Matrices for Directed Networks on Surfaces

John Machacek

arxiv:1609.07525 v2 · 2016-09-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q6SDDVVJJGNH4Z4EKW5TBHE32A}

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	2026-05-18T00:31:31.602167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a431d6a9499a7e678455bb309c9bd018d28563cf8e5b8d7610df6c74fd32c5

Aliases

arxiv: 1609.07525 · arxiv_version: 1609.07525v2 · doi: 10.48550/arxiv.1609.07525 · pith_short_12: Q6SDDVVJJGNH · pith_short_16: Q6SDDVVJJGNH4Z4E · pith_short_8: Q6SDDVVJ

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/Q6SDDVVJJGNH4Z4EKW5TBHE32A \
  | 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: 87a431d6a9499a7e678455bb309c9bd018d28563cf8e5b8d7610df6c74fd32c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "724909051af4a3aa1efdea25caaec1ca601e2c6d344b19953cc2065d75e5b5ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-23T21:42:17Z",
    "title_canon_sha256": "e32a6b9fbc6c2a59a2045b9740c2dc0964f13d8e82e28cf36c3df4f277b8ae73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07525",
    "kind": "arxiv",
    "version": 2
  }
}