Pith Number

pith:BNGJSGB2

pith:2014:BNGJSGB2QIA6QATY65UFUBW5TQ

not attested not anchored not stored refs pending

Multicolored Isomorphic Spanning Trees in Complete Graphs

Hung-Lin Fu, Yuan-Hsun Lo

arxiv:1410.0445 v1 · 2014-10-02 · 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{BNGJSGB2QIA6QATY65UFUBW5TQ}

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	2026-05-18T01:14:53.405925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b4c99183a8201e80278f7685a06dd9c3b3ec22e4a9d9a1b075ece4d89cad07e

Aliases

arxiv: 1410.0445 · arxiv_version: 1410.0445v1 · doi: 10.48550/arxiv.1410.0445 · pith_short_12: BNGJSGB2QIA6 · pith_short_16: BNGJSGB2QIA6QATY · pith_short_8: BNGJSGB2

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/BNGJSGB2QIA6QATY65UFUBW5TQ \
  | 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: 0b4c99183a8201e80278f7685a06dd9c3b3ec22e4a9d9a1b075ece4d89cad07e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c407f9dcfce55287eed3da2df7d02c7c74f388d266588f12c93e12afcf537aac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-02T03:09:09Z",
    "title_canon_sha256": "503e7a14558ea1e913640e4622c0998fee5d25afb17c5e4700b68c6aa96df161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0445",
    "kind": "arxiv",
    "version": 1
  }
}