Pith Number

pith:OTMFPBSZ

pith:2014:OTMFPBSZRYZGWPMZYLC45Y23J6

not attested not anchored not stored refs pending

Extremal permutations in routing cycles

Gexin Yu, Junhua He, Louis A. Valentin, Xiaoyan Yin

arxiv:1404.1851 v2 · 2014-04-07 · 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{OTMFPBSZRYZGWPMZYLC45Y23J6}

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	2026-05-18T01:06:41.259706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74d85786598e326b3d99c2c5cee35b4f936bf76b8b8c89740912094707573494

Aliases

arxiv: 1404.1851 · arxiv_version: 1404.1851v2 · doi: 10.48550/arxiv.1404.1851 · pith_short_12: OTMFPBSZRYZG · pith_short_16: OTMFPBSZRYZGWPMZ · pith_short_8: OTMFPBSZ

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/OTMFPBSZRYZGWPMZYLC45Y23J6 \
  | 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: 74d85786598e326b3d99c2c5cee35b4f936bf76b8b8c89740912094707573494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf56cf829cd0485f54fcde502c1a0df599a58c166d72f50dc2d83d67c7ac6df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-07T17:11:29Z",
    "title_canon_sha256": "662d5510fb1ff30b8fa74a448996d4c9f145f68a4e7d44a5c4165926d96210ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1851",
    "kind": "arxiv",
    "version": 2
  }
}