Pith Number

pith:6YUEYSHT

pith:2017:6YUEYSHTQLGCIIAIT3ZBW2QQJB

not attested not anchored not stored refs pending

Relationship of Two Formulations for Shortest Bibranchings

Kazuo Murota, Kenjiro Takazawa

arxiv:1706.02029 v2 · 2017-06-07 · math.CO · cs.DM · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YUEYSHTQLGCIIAIT3ZBW2QQJB}

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	2026-05-18T00:10:19.418004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6284c48f382cc2420089ef21b6a1048618363e8db6961bfc582b7f11ecf8329

Aliases

arxiv: 1706.02029 · arxiv_version: 1706.02029v2 · doi: 10.48550/arxiv.1706.02029 · pith_short_12: 6YUEYSHTQLGC · pith_short_16: 6YUEYSHTQLGCIIAI · pith_short_8: 6YUEYSHT

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/6YUEYSHTQLGCIIAIT3ZBW2QQJB \
  | 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: f6284c48f382cc2420089ef21b6a1048618363e8db6961bfc582b7f11ecf8329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07ba82d43a4519e22eb787fad8ce15a8aad4c26defa13e1463a898702e58369b",
    "cross_cats_sorted": [
      "cs.DM",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-07T02:18:30Z",
    "title_canon_sha256": "6b39bc67c537ae3fa221f07907d8fc02a0c721e44711099832dc4ef8b2518fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02029",
    "kind": "arxiv",
    "version": 2
  }
}