Pith Number

pith:TEBHHEKH

pith:2016:TEBHHEKHVCMLTHBJ5XQA6UTKNX

not attested not anchored not stored refs pending

Subharmonic Solutions and Minimal Periodic Solutions of First-order Hamiltonian Systems with Anisotropic Growth

Chungen Liu, Xiaofei Zhang

arxiv:1612.04032 v1 · 2016-12-13 · math.DS · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEBHHEKHVCMLTHBJ5XQA6UTKNX}

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	2026-05-18T00:55:05.760680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9902739147a898b99c29ede00f526a6de2bc0b0260310eaa6bb075d0c2621ccb

Aliases

arxiv: 1612.04032 · arxiv_version: 1612.04032v1 · doi: 10.48550/arxiv.1612.04032 · pith_short_12: TEBHHEKHVCML · pith_short_16: TEBHHEKHVCMLTHBJ · pith_short_8: TEBHHEKH

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/TEBHHEKHVCMLTHBJ5XQA6UTKNX \
  | 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: 9902739147a898b99c29ede00f526a6de2bc0b0260310eaa6bb075d0c2621ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8f443b1e2e92117903e89317b606de49be51b1bb7ab0591f02d277b8b74c33",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-13T05:21:15Z",
    "title_canon_sha256": "27d9ada7dd5844fc1099f2b052dddf67386eb1f2ea6b447fbeb52d9232cb857e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04032",
    "kind": "arxiv",
    "version": 1
  }
}