Pith Number

pith:VCZ5JQAK

pith:2015:VCZ5JQAK5H34VR5USBO5M4Z74H

not attested not anchored not stored refs pending

Moment transport equations and their application to the perturbed universe

2) ((1) Universidad Industrial de Santander, (2) Universidad Antonio Narino), Carlos A. Sierra (1), Yeinzon Rodriguez (1

arxiv:1510.03940 v2 · 2015-10-14 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCZ5JQAK5H34VR5USBO5M4Z74H}

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	2026-05-18T01:24:38.094614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b3d4c00ae9f7cac7b4905dd6733fe1c8e13597483b56076d311d76baf9e9fd

Aliases

arxiv: 1510.03940 · arxiv_version: 1510.03940v2 · doi: 10.48550/arxiv.1510.03940 · pith_short_12: VCZ5JQAK5H34 · pith_short_16: VCZ5JQAK5H34VR5U · pith_short_8: VCZ5JQAK

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/VCZ5JQAK5H34VR5USBO5M4Z74H \
  | 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: a8b3d4c00ae9f7cac7b4905dd6733fe1c8e13597483b56076d311d76baf9e9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc5f29407b8cc5264c415787922e7b8f43ce292952161cf795b6d76f2e67d341",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-10-14T01:05:43Z",
    "title_canon_sha256": "b9f2115504b0cb3ff6a0410f5492d3644822e90c0638ebd844e94e029607a4ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03940",
    "kind": "arxiv",
    "version": 2
  }
}