Pith Number

pith:IAYXLDUY

pith:2006:IAYXLDUYCIYTPR2XSAFUTHLU7L

not attested not anchored not stored refs pending

From polytropic to barotropic perfect fluids in general-relativistic hydrodynamics

Bogusz Kinasiewicz, Patryk Mach

arxiv:gr-qc/0610040 v1 · 2006-10-10 · 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{IAYXLDUYCIYTPR2XSAFUTHLU7L}

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	2026-07-04T14:59:43.339513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4031758e98123137c757900b499d74fad72157a2c536e63ce0903d37b7e5cad5

Aliases

arxiv: gr-qc/0610040 · arxiv_version: gr-qc/0610040v1 · doi: 10.48550/arxiv.gr-qc/0610040 · pith_short_12: IAYXLDUYCIYT · pith_short_16: IAYXLDUYCIYTPR2X · pith_short_8: IAYXLDUY

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/IAYXLDUYCIYTPR2XSAFUTHLU7L \
  | 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: 4031758e98123137c757900b499d74fad72157a2c536e63ce0903d37b7e5cad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f6b0c637739c8d682922649a1e9c265b68601bf35e1834798f163a2c3286597",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-10-10T06:56:09Z",
    "title_canon_sha256": "a47f8fa97aa7082cc6cd03e991e782c718502d0e163dc7fc177adf8e75dbed3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0610040",
    "kind": "arxiv",
    "version": 1
  }
}