Pith Number

pith:DDZMINAL

pith:2014:DDZMINALFAKOZ4TKCMHPX3JNW7

not attested not anchored not stored refs pending

Action Minimizing Solutions of The One-Dimensional $N$-Body Problem With Equal Masses

Shiqing Zhang, Xiang Yu

arxiv:1401.1051 v3 · 2014-01-06 · math-ph · math.DS · 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{DDZMINALFAKOZ4TKCMHPX3JNW7}

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	2026-05-18T02:27:05.642741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f2c4340b2814ecf26a130efbed2db7e8825afcef6ca484cfe4bbcb42dc7f7b

Aliases

arxiv: 1401.1051 · arxiv_version: 1401.1051v3 · doi: 10.48550/arxiv.1401.1051 · pith_short_12: DDZMINALFAKO · pith_short_16: DDZMINALFAKOZ4TK · pith_short_8: DDZMINAL

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/DDZMINALFAKOZ4TKCMHPX3JNW7 \
  | 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: 18f2c4340b2814ecf26a130efbed2db7e8825afcef6ca484cfe4bbcb42dc7f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d54f8deb6e89c3b74bfdbe2cbe8cfc5fc3e42b801d3c5043577c1612e9132587",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-01-06T11:57:43Z",
    "title_canon_sha256": "271093937440b8d3a5d23da5ba11795ba87a49c492de0e658b804e340cff7128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1051",
    "kind": "arxiv",
    "version": 3
  }
}