Pith Number

pith:YYAG5LHE

pith:2016:YYAG5LHENZFBASABCHLJZWFKKK

not attested not anchored not stored refs pending

Proper Orientations of Planar Bipartite Graphs

Bojan Mohar, Cl\'audia Linhares Sales, Fiachra Knox, Sebasti\'an Gonz\'alez Hermosillo de la Maza

arxiv:1609.06778 v1 · 2016-09-21 · 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{YYAG5LHENZFBASABCHLJZWFKKK}

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	2026-05-18T01:04:05.117431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6006eace46e4a10480111d69cd8aa5285024330967efbd0aa2ee3aa30f8baeb

Aliases

arxiv: 1609.06778 · arxiv_version: 1609.06778v1 · doi: 10.48550/arxiv.1609.06778 · pith_short_12: YYAG5LHENZFB · pith_short_16: YYAG5LHENZFBASAB · pith_short_8: YYAG5LHE

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/YYAG5LHENZFBASABCHLJZWFKKK \
  | 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: c6006eace46e4a10480111d69cd8aa5285024330967efbd0aa2ee3aa30f8baeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d32847ec599ae2822c75922853c501fe8da6266c9755e08e983eda73288ebf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-21T23:38:25Z",
    "title_canon_sha256": "0ff467e34a8a092e21449f9b7bff6ceff50780c386b8507a24f16a48ba2d53ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06778",
    "kind": "arxiv",
    "version": 1
  }
}