Pith Number

pith:FL7V7JS5

pith:2016:FL7V7JS5VFKRUBE63L6HQUMRJE

not attested not anchored not stored refs pending

Mass-radius spirals for steady state families of the Vlasov-Poisson system

Gerhard Rein, Tobias Ramming

arxiv:1602.06151 v1 · 2016-02-19 · math-ph · 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{FL7V7JS5VFKRUBE63L6HQUMRJE}

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	2026-05-18T00:48:54.701640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aff5fa65da9551a049edafc7851914909fe9cd910742464deaf09cb5a9550d9

Aliases

arxiv: 1602.06151 · arxiv_version: 1602.06151v1 · doi: 10.48550/arxiv.1602.06151 · pith_short_12: FL7V7JS5VFKR · pith_short_16: FL7V7JS5VFKRUBE6 · pith_short_8: FL7V7JS5

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/FL7V7JS5VFKRUBE63L6HQUMRJE \
  | 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: 2aff5fa65da9551a049edafc7851914909fe9cd910742464deaf09cb5a9550d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be96b3a1231da4a9be0b8c278cf9fa5e50ace339188bd800c425a905aa3b5740",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-19T13:53:19Z",
    "title_canon_sha256": "061cacb631301588147c30cf371323febe09d74bc5b5d5b1726469a2e7d372ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06151",
    "kind": "arxiv",
    "version": 1
  }
}