Pith Number

pith:K3AK665L

pith:2015:K3AK665LP7QIBYIZTHLUXV63OT

not attested not anchored not stored refs pending

Applications of Balanced Pairs

Huanhuan Li, Junfu Wang, Zhaoyong Huang

arxiv:1507.03862 v1 · 2015-07-14 · math.RT · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3AK665LP7QIBYIZTHLUXV63OT}

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	2026-05-18T01:15:52.734378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56c0af7bab7fe080e11999d74bd7db74fa629540b18c8f5fd012c1d49864d5c9

Aliases

arxiv: 1507.03862 · arxiv_version: 1507.03862v1 · doi: 10.48550/arxiv.1507.03862 · pith_short_12: K3AK665LP7QI · pith_short_16: K3AK665LP7QIBYIZ · pith_short_8: K3AK665L

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/K3AK665LP7QIBYIZTHLUXV63OT \
  | 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: 56c0af7bab7fe080e11999d74bd7db74fa629540b18c8f5fd012c1d49864d5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05ac37ffedbd7f42c841e98c7a8e91815aae58aeede79cf8c309d21d3148e79a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-14T14:27:49Z",
    "title_canon_sha256": "d3342bbc06483cab3a6d9e0e4787e97a875fd8957dc0d4128e0a822c5e8f8f57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03862",
    "kind": "arxiv",
    "version": 1
  }
}