Pith Number

pith:2KWGOFB5

pith:2016:2KWGOFB5PPOVHQZDMJLL44HSOR

not attested not anchored not stored refs pending

Multiple Periodic Solutions for $\Gamma$-symmetric Newtonian Systems

Hao-pin Wu, Mieczyslaw Dabkowski, Wieslaw Krawcewicz, Yanli Lv

arxiv:1612.07876 v1 · 2016-12-23 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KWGOFB5PPOVHQZDMJLL44HSOR}

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	2026-05-18T00:54:05.478203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ac67143d7bdd53c3236256be70f2745e96487ebc7cc6b9e30ad80936509d9f

Aliases

arxiv: 1612.07876 · arxiv_version: 1612.07876v1 · doi: 10.48550/arxiv.1612.07876 · pith_short_12: 2KWGOFB5PPOV · pith_short_16: 2KWGOFB5PPOVHQZD · pith_short_8: 2KWGOFB5

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/2KWGOFB5PPOVHQZDMJLL44HSOR \
  | 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: d2ac67143d7bdd53c3236256be70f2745e96487ebc7cc6b9e30ad80936509d9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "263ed38df19861071e1d78561445e24db804591dbd119765a34390f2acdf4fbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-23T05:13:36Z",
    "title_canon_sha256": "8f88be500e7cfd676ca5b9d5abe5fc438ef741853fec968a10a064d4accdf877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07876",
    "kind": "arxiv",
    "version": 1
  }
}