Pith Number

pith:TAKVPF7W

pith:2025:TAKVPF7WQCA43ISR5ABR2B2F5D

not attested not anchored not stored refs pending

Future Stability of Tilted Two-Fluid Bianchi I Spacetimes

Elliot Marshall, Grigorios Fournodavlos, Todd A. Oliynyk

arxiv:2508.15155 v1 · 2025-08-21 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAKVPF7WQCA43ISR5ABR2B2F5D}

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	2026-07-05T11:57:07.309822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98155797f68081cda251e8031d0745e8f266aea8bb5d1793e356cbc35ddcb497

Aliases

arxiv: 2508.15155 · arxiv_version: 2508.15155v1 · doi: 10.48550/arxiv.2508.15155 · pith_short_12: TAKVPF7WQCA4 · pith_short_16: TAKVPF7WQCA43ISR · pith_short_8: TAKVPF7W

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/TAKVPF7WQCA43ISR5ABR2B2F5D \
  | 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: 98155797f68081cda251e8031d0745e8f266aea8bb5d1793e356cbc35ddcb497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "567a43e5c61c53cef8fa0c3979bbcc920b49d4bef484e9547e3ac3a467b6d625",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-08-21T01:28:10Z",
    "title_canon_sha256": "b980cac869b14b0d66dd8606e0ce0cba1c1a2630fddd90d0d231e37693d2ed37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15155",
    "kind": "arxiv",
    "version": 1
  }
}