Pith Number

pith:QHFGAJFB

pith:2013:QHFGAJFBHG6MHMX5MGJBE65KXD

not attested not anchored not stored refs pending

Additional reductions in the k-constrained modified KP hierarchy

Oleksandr Chvartatskyi, Yuriy Sydorenko

arxiv:1303.6509 v2 · 2013-03-26 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHFGAJFBHG6MHMX5MGJBE65KXD}

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	2026-05-18T03:03:44.427220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ca6024a139bcc3b2fd6192127baab8e62307ec29071229a83db43ba5290e86

Aliases

arxiv: 1303.6509 · arxiv_version: 1303.6509v2 · doi: 10.48550/arxiv.1303.6509 · pith_short_12: QHFGAJFBHG6M · pith_short_16: QHFGAJFBHG6MHMX5 · pith_short_8: QHFGAJFB

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/QHFGAJFBHG6MHMX5MGJBE65KXD \
  | 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: 81ca6024a139bcc3b2fd6192127baab8e62307ec29071229a83db43ba5290e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88a3fbb3591f30ee19d3e1b5dbb66ad8c26e62e1eb8aa3f2e68e3a2e2fa5f42c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-03-26T14:37:40Z",
    "title_canon_sha256": "26f4bc0e72bc90a73de04676c08494e584b7bb228ac45dbf69be728ac20d40b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6509",
    "kind": "arxiv",
    "version": 2
  }
}