Pith Number

pith:UHRZ7OEX

pith:2014:UHRZ7OEXEKSNOVF6CPL4YUCMM5

not attested not anchored not stored refs pending

$3$-Regular mixed graphs with optimum Hermitian energy

Xiaolin Chen, Xueliang Li, Yingying Zhang

arxiv:1412.3669 v2 · 2014-12-11 · 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{UHRZ7OEXEKSNOVF6CPL4YUCMM5}

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	2026-05-18T01:35:22.540621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1e39fb89722a4d754be13d7cc504c675d789e1ae1f9c43c3228e517803c71fe

Aliases

arxiv: 1412.3669 · arxiv_version: 1412.3669v2 · doi: 10.48550/arxiv.1412.3669 · pith_short_12: UHRZ7OEXEKSN · pith_short_16: UHRZ7OEXEKSNOVF6 · pith_short_8: UHRZ7OEX

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/UHRZ7OEXEKSNOVF6CPL4YUCMM5 \
  | 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: a1e39fb89722a4d754be13d7cc504c675d789e1ae1f9c43c3228e517803c71fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21dccf6c6247b6a027b90268e0b820f2cc7fc9c5dd83e8a560936afc20f7e8e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-11T14:57:56Z",
    "title_canon_sha256": "19f741b371fc3cc28729c42157355e94d8154d59fd9cc4d4913d22110ff9d708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3669",
    "kind": "arxiv",
    "version": 2
  }
}