Pith Number

pith:3CMEGZVX

pith:2017:3CMEGZVXLL2TIMIEG75L5NZGJE

not attested not anchored not stored refs pending

On vertex-disjoint paths in regular graphs

Jie Han

arxiv:1706.06945 v1 · 2017-06-21 · 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{3CMEGZVXLL2TIMIEG75L5NZGJE}

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	2026-05-18T00:41:56.425265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8984366b75af534310437fabeb7264932badefe135997eb2889fc752b0dc9ae

Aliases

arxiv: 1706.06945 · arxiv_version: 1706.06945v1 · doi: 10.48550/arxiv.1706.06945 · pith_short_12: 3CMEGZVXLL2T · pith_short_16: 3CMEGZVXLL2TIMIE · pith_short_8: 3CMEGZVX

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/3CMEGZVXLL2TIMIEG75L5NZGJE \
  | 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: d8984366b75af534310437fabeb7264932badefe135997eb2889fc752b0dc9ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e145b24c9465ac9ef70074cbe2ceb7d452f80539c8cd6972ecf9d37efc25a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-21T15:00:30Z",
    "title_canon_sha256": "3a078f06ef679eb02b429f0c3b218678200f68beafbf7720baa485e292487d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06945",
    "kind": "arxiv",
    "version": 1
  }
}