Pith Number

pith:ABE5I2HX

pith:2019:ABE5I2HXOJ633PP7B77YQZFLHO

not attested not anchored not stored refs pending

Partition of a Subset into Two Directed Cycles with Partial Degrees

Hong Wang

arxiv:1907.11668 v1 · 2019-07-26 · 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{ABE5I2HXOJ633PP7B77YQZFLHO}

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	2026-05-17T23:39:28.308088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0049d468f7727dbdbdff0fff8864ab3bb1bcae06ad95b3a220f6311863a5cb3e

Aliases

arxiv: 1907.11668 · arxiv_version: 1907.11668v1 · doi: 10.48550/arxiv.1907.11668 · pith_short_12: ABE5I2HXOJ63 · pith_short_16: ABE5I2HXOJ633PP7 · pith_short_8: ABE5I2HX

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/ABE5I2HXOJ633PP7B77YQZFLHO \
  | 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: 0049d468f7727dbdbdff0fff8864ab3bb1bcae06ad95b3a220f6311863a5cb3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2330d7ea9b734ca32b4f9510252b13f9eb91676a2c8882ce55ec0b18e3b721e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-26T16:33:57Z",
    "title_canon_sha256": "87debe9023af079f0f25b7f176a8f568c447030ffeeb5f0d3149c54eec517423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11668",
    "kind": "arxiv",
    "version": 1
  }
}