Pith Number

pith:VHD6MPN5

pith:2023:VHD6MPN5JPQFBOGGO2SXQBWMEJ

not attested not anchored not stored refs pending

Sufficient conditions for the existence of path-factors with given properties

Guowei Dai, Hui Qin, Ting Jin, Yuan Chen, Yuan Yuan

arxiv:2305.04713 v2 · 2023-05-08 · 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{VHD6MPN5JPQFBOGGO2SXQBWMEJ}

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	2026-07-05T06:08:28.787164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c7e63dbd4be050b8c676a57806cc225d2c5e79550a8f2fa10b38a3adfcaa9e

Aliases

arxiv: 2305.04713 · arxiv_version: 2305.04713v2 · doi: 10.48550/arxiv.2305.04713 · pith_short_12: VHD6MPN5JPQF · pith_short_16: VHD6MPN5JPQFBOGG · pith_short_8: VHD6MPN5

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/VHD6MPN5JPQFBOGGO2SXQBWMEJ \
  | 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: a9c7e63dbd4be050b8c676a57806cc225d2c5e79550a8f2fa10b38a3adfcaa9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "054495d7901ccc0d07960146608b2d957d0e5187ff3978cfe27cd799654fea2d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-08T13:55:36Z",
    "title_canon_sha256": "269d5a8849bbc66f429fa0143c8aecec9513418f9ca0ce1312767d2e9c3e0508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.04713",
    "kind": "arxiv",
    "version": 2
  }
}