Pith Number

pith:QUBYKOQ7

pith:2012:QUBYKOQ75WGHTR7H36X3ADJNIT

not attested not anchored not stored refs pending

Stacked Central Configurations for Newtonian N+4-Body Problems

Furong Zhao, Shiqing Zhang

arxiv:1204.2472 v1 · 2012-04-11 · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUBYKOQ75WGHTR7H36X3ADJNIT}

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	2026-05-18T03:58:05.018292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8503853a1fed8c79c7e7dfafb00d2d44c2b7149ba109f46e1df728e7bb3efe80

Aliases

arxiv: 1204.2472 · arxiv_version: 1204.2472v1 · doi: 10.48550/arxiv.1204.2472 · pith_short_12: QUBYKOQ75WGH · pith_short_16: QUBYKOQ75WGHTR7H · pith_short_8: QUBYKOQ7

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/QUBYKOQ75WGHTR7H36X3ADJNIT \
  | 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: 8503853a1fed8c79c7e7dfafb00d2d44c2b7149ba109f46e1df728e7bb3efe80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f03c6baaaeebe19ccdab81e5784bb4af7f18b7017dfbf88b0794863a603050",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-11T15:20:09Z",
    "title_canon_sha256": "9de93ab71c772e7d9065ad5a62d741b373c245d7ecfdf9197817b2c8af7e1ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2472",
    "kind": "arxiv",
    "version": 1
  }
}