Pith Number

pith:Q7G2LVAG

pith:2012:Q7G2LVAGAQKGK6KGO6VXMJMLZE

not attested not anchored not stored refs pending

Contracting Quadratic Operators of Bisexual Population

N. N. Ganikhodjaev, U. U. Jamilov

arxiv:1204.0349 v1 · 2012-04-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7G2LVAGAQKGK6KGO6VXMJMLZE}

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	2026-05-18T03:58:49.049451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87cda5d406041465794677ab76258bc91cb79753de8c2d6f0ed96addc03d5d7f

Aliases

arxiv: 1204.0349 · arxiv_version: 1204.0349v1 · doi: 10.48550/arxiv.1204.0349 · pith_short_12: Q7G2LVAGAQKG · pith_short_16: Q7G2LVAGAQKGK6KG · pith_short_8: Q7G2LVAG

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/Q7G2LVAGAQKGK6KGO6VXMJMLZE \
  | 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: 87cda5d406041465794677ab76258bc91cb79753de8c2d6f0ed96addc03d5d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0df7c94addd260dc690f4b53d7e4993120bd06149b59b1981f35ab019d2aba43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-02T09:03:23Z",
    "title_canon_sha256": "da44f7437a78bebf46db4e3de6bf88eece124bf8eea162720cf448a9f30de538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0349",
    "kind": "arxiv",
    "version": 1
  }
}