Pith Number

pith:Y3LL5ER7

pith:2015:Y3LL5ER7VLG356Z7UEXOJW2YFH

not attested not anchored not stored refs pending

Application of the Hamiltonian formulation to nonlinear light-envelope propagations

Guo Liang, Qi Guo, Yingbing Li, Zhanmei Ren

arxiv:1503.07683 v2 · 2015-03-26 · nlin.PS · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3LL5ER7VLG356Z7UEXOJW2YFH}

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	2026-05-18T01:59:53.290454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6d6be923faacdbefb3fa12ee4db5829dd399ae023c160fae586aee62e26aa73

Aliases

arxiv: 1503.07683 · arxiv_version: 1503.07683v2 · doi: 10.48550/arxiv.1503.07683 · pith_short_12: Y3LL5ER7VLG3 · pith_short_16: Y3LL5ER7VLG356Z7 · pith_short_8: Y3LL5ER7

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/Y3LL5ER7VLG356Z7UEXOJW2YFH \
  | 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: c6d6be923faacdbefb3fa12ee4db5829dd399ae023c160fae586aee62e26aa73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a174384ab1c7f11439030c22373461b8556a7b035fb726c020f7cb1b0da1cb9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2015-03-26T10:53:12Z",
    "title_canon_sha256": "1d675ae9b8b87449cc7d4029004118cb0233c415c0b7e6a0a3ea10f55a47ac01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07683",
    "kind": "arxiv",
    "version": 2
  }
}