Pith Number

pith:3E23X7VL

pith:2017:3E23X7VLF75LHOVFSOLIEGK3NP

not attested not anchored not stored refs pending

General-relativistic rotation: self-gravitating fluid tori in motion around black holes

Andrzej Odrzywolek, Edward Malec, Janusz Karkowski, Michal Pirog, Patryk Mach, Wojciech Kulczycki

arxiv:1712.05673 v3 · 2017-12-15 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3E23X7VLF75LHOVFSOLIEGK3NP}

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	2026-05-18T00:14:10.918550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d935bbfeab2ffab3baa5939682195b6bc43caf88f91af54df08d3d198064ba78

Aliases

arxiv: 1712.05673 · arxiv_version: 1712.05673v3 · doi: 10.48550/arxiv.1712.05673 · pith_short_12: 3E23X7VLF75L · pith_short_16: 3E23X7VLF75LHOVF · pith_short_8: 3E23X7VL

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/3E23X7VLF75LHOVFSOLIEGK3NP \
  | 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: d935bbfeab2ffab3baa5939682195b6bc43caf88f91af54df08d3d198064ba78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe4120e48b858563e677315b9ebbb4ca2392d036f13b76ed797e8b0d3725962f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-12-15T13:50:37Z",
    "title_canon_sha256": "5685be0328fb4cf7c175babfcbd48ea7f2b612236c2b6310a68e195d8aef8676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05673",
    "kind": "arxiv",
    "version": 3
  }
}