Pith Number

pith:NTEGMR64

pith:2013:NTEGMR64WGBQ6KUVS4SOK25P4R

not attested not anchored not stored refs pending

Additional symmetry of the modified extended Toda hierarchy

Chuanzhong Li, Jingsong He

arxiv:1309.4532 v1 · 2013-09-18 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTEGMR64WGBQ6KUVS4SOK25P4R}

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	2026-05-18T03:12:59.125486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cc86647dcb1830f2a959724e56bafe441a9e08d38aa4180ede63e3303463035

Aliases

arxiv: 1309.4532 · arxiv_version: 1309.4532v1 · doi: 10.48550/arxiv.1309.4532 · pith_short_12: NTEGMR64WGBQ · pith_short_16: NTEGMR64WGBQ6KUV · pith_short_8: NTEGMR64

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/NTEGMR64WGBQ6KUVS4SOK25P4R \
  | 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: 6cc86647dcb1830f2a959724e56bafe441a9e08d38aa4180ede63e3303463035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1efd40032bae7b1550b97982237ba257ab78dad0e9d74b4b84c5c9da964bdd",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-18T03:59:19Z",
    "title_canon_sha256": "82afedef4c3ca7d63992d64d9afae6a065765ba6cb73fce554b5b18507728f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4532",
    "kind": "arxiv",
    "version": 1
  }
}