Pith Number

pith:GI3LSULS

pith:2012:GI3LSULSVQQXNO2ISWMMV443XZ

not attested not anchored not stored refs pending

Many-to-many disjoint paths in hypercubes with faulty vertices

Bin Liu, Jun-Ming Xu, Meijie Ma, Xiang-jun Li

arxiv:1204.4252 v1 · 2012-04-19 · 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{GI3LSULSVQQXNO2ISWMMV443XZ}

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	2026-05-18T03:57:28.015827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3236b95172ac2176bb489598caf39bbe53573a7551f2df55bdcf45a7cf1c47fd

Aliases

arxiv: 1204.4252 · arxiv_version: 1204.4252v1 · doi: 10.48550/arxiv.1204.4252 · pith_short_12: GI3LSULSVQQX · pith_short_16: GI3LSULSVQQXNO2I · pith_short_8: GI3LSULS

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/GI3LSULSVQQXNO2ISWMMV443XZ \
  | 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: 3236b95172ac2176bb489598caf39bbe53573a7551f2df55bdcf45a7cf1c47fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3777c150eb646a5ad32cb317f08edc8391c393d9cd4408f787d44bbbc4282a68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-19T05:19:57Z",
    "title_canon_sha256": "1753580d6f1619b704fabf911ff80b68c7dc703cb924b2a4cdd2ba0e8cd90bd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4252",
    "kind": "arxiv",
    "version": 1
  }
}