Pith Number

pith:2JUWEIRD

pith:2016:2JUWEIRDQO4UGNLYVRNRBQFILW

not attested not anchored not stored refs pending

Nowhere-zero $3$-flow and $\mathbb{Z}_3$-connectedness in Graphs with Four Edge-disjoint Spanning Trees

Hong-Jian Lai, Jiaao Li, Miaomiao Han

arxiv:1610.04581 v1 · 2016-10-14 · 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{2JUWEIRDQO4UGNLYVRNRBQFILW}

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	2026-05-18T01:02:14.679557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d26962222383b9433578ac5b10c0a85d965eba136e39b50a533a8c6f79494d36

Aliases

arxiv: 1610.04581 · arxiv_version: 1610.04581v1 · doi: 10.48550/arxiv.1610.04581 · pith_short_12: 2JUWEIRDQO4U · pith_short_16: 2JUWEIRDQO4UGNLY · pith_short_8: 2JUWEIRD

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/2JUWEIRDQO4UGNLYVRNRBQFILW \
  | 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: d26962222383b9433578ac5b10c0a85d965eba136e39b50a533a8c6f79494d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f6d85d83c7768a3b136787f8a5c6063e37e4d45fe7c4e98fd9b5ea0ab89d6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-14T18:56:27Z",
    "title_canon_sha256": "e170961525e1c11c9206f737cda8678a19b6f20406cc2692719dff200a0f1de5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04581",
    "kind": "arxiv",
    "version": 1
  }
}