Pith Number

pith:ERX2KBY3

pith:2012:ERX2KBY3QAD2TXRW2OBBSLVYND

not attested not anchored not stored refs pending

On the parameter $\mu_{21}$ of a complete bipartite graph

A.M. Khachatryan, R.R. Kamalian

arxiv:1205.0125 v1 · 2012-05-01 · cs.DM · 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{ERX2KBY3QAD2TXRW2OBBSLVYND}

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	2026-05-18T03:56:35.815745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

246fa5071b8007a9de36d382192eb868fd6245f27520254d5f2fb753c99e7c03

Aliases

arxiv: 1205.0125 · arxiv_version: 1205.0125v1 · doi: 10.48550/arxiv.1205.0125 · pith_short_12: ERX2KBY3QAD2 · pith_short_16: ERX2KBY3QAD2TXRW · pith_short_8: ERX2KBY3

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/ERX2KBY3QAD2TXRW2OBBSLVYND \
  | 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: 246fa5071b8007a9de36d382192eb868fd6245f27520254d5f2fb753c99e7c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f83f71f8b4d3dd403be459ea7f9ec94a7652be6b4ba5e51be7ceb0a1667473a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-05-01T10:21:51Z",
    "title_canon_sha256": "aac5e8e432c0014455895031bdde76f1b737c1aa0dbbebdf6d91d9e0b75f23a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0125",
    "kind": "arxiv",
    "version": 1
  }
}