Pith Number

pith:KAQ3VMDQ

pith:2020:KAQ3VMDQQGOHQFP3GNOGKTQWHK

not attested not anchored not stored refs pending

Oscillatory orbits in the Restricted Planar 4 Body Problem

Jianlu Zhang, Tere Seara

arxiv:2004.12732 v2 · 2020-04-27 · 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{KAQ3VMDQQGOHQFP3GNOGKTQWHK}

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	2026-07-05T01:55:51.361379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5021bab070819c7815fb335c654e163ab2d6c5e76b88c7f99e1172f959d3fc43

Aliases

arxiv: 2004.12732 · arxiv_version: 2004.12732v2 · doi: 10.48550/arxiv.2004.12732 · pith_short_12: KAQ3VMDQQGOH · pith_short_16: KAQ3VMDQQGOHQFP3 · pith_short_8: KAQ3VMDQ

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/KAQ3VMDQQGOHQFP3GNOGKTQWHK \
  | 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: 5021bab070819c7815fb335c654e163ab2d6c5e76b88c7f99e1172f959d3fc43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f20ebd3c5540063b686645e2afc214934bece5c84035f2849d933cd92fa5816",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-04-27T12:04:05Z",
    "title_canon_sha256": "70cabbee154d27a29f5befa952949fcffc3e4ba518336749c001c2c0b09d9a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.12732",
    "kind": "arxiv",
    "version": 2
  }
}