Pith Number

pith:CVLLWGMF

pith:2015:CVLLWGMFHFMVN4H7TEAABSPYNM

not attested not anchored not stored refs pending

Energy concentration and a priori estimates for $B_2$ and $G_2$ types of Toda systems

Chang-shou Lin, Lei Zhang

arxiv:1505.03012 v2 · 2015-05-12 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVLLWGMFHFMVN4H7TEAABSPYNM}

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	2026-05-18T02:07:26.142325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1556bb1985395956f0ff990000c9f86b287fbc952e78a921cfb7daf3bc47c629

Aliases

arxiv: 1505.03012 · arxiv_version: 1505.03012v2 · doi: 10.48550/arxiv.1505.03012 · pith_short_12: CVLLWGMFHFMV · pith_short_16: CVLLWGMFHFMVN4H7 · pith_short_8: CVLLWGMF

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/CVLLWGMFHFMVN4H7TEAABSPYNM \
  | 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: 1556bb1985395956f0ff990000c9f86b287fbc952e78a921cfb7daf3bc47c629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10907ec766af9c62382310ce70032010b0edbda6def7eb2aed48fd2bed87e32a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-12T14:07:31Z",
    "title_canon_sha256": "e1ca123cf8d21e533bfeda7027e538343c969ec52b66dac7e0396d9a774bd868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03012",
    "kind": "arxiv",
    "version": 2
  }
}