Pith Number

pith:2PLQLB3V

pith:2013:2PLQLB3VFNRQEHOXX2LXJI2RXX

not attested not anchored not stored refs pending

Galactic dynamics in MOND -- Existence of equilibria with finite mass and compact support

Gerhard Rein

arxiv:1312.3765 v1 · 2013-12-13 · math-ph · astro-ph.GA · 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{2PLQLB3VFNRQEHOXX2LXJI2RXX}

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	2026-05-18T03:04:36.515107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d70587752b63021dd7be9774a351bdf80bcc5e78a0df73f17012f623f5cd6f

Aliases

arxiv: 1312.3765 · arxiv_version: 1312.3765v1 · doi: 10.48550/arxiv.1312.3765 · pith_short_12: 2PLQLB3VFNRQ · pith_short_16: 2PLQLB3VFNRQEHOX · pith_short_8: 2PLQLB3V

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/2PLQLB3VFNRQEHOXX2LXJI2RXX \
  | 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: d3d70587752b63021dd7be9774a351bdf80bcc5e78a0df73f17012f623f5cd6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f7dcfa542da896446ea4f157246f84bec285df9ea9dc44a35d8761086ab460",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-13T10:45:30Z",
    "title_canon_sha256": "2c91851f039327914c5b1a1db7306071dcbaad1eef3dfe80169828a1837ec651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3765",
    "kind": "arxiv",
    "version": 1
  }
}