Pith Number

pith:YEIBB6MK

pith:2005:YEIBB6MKELOOMNINIERPJKG4P6

not attested not anchored not stored refs pending

The late-time behaviour of vortic Bianchi type VIII Universes

Sigbjorn Hervik, Woei Chet Lim

arxiv:gr-qc/0512070 v2 · 2005-12-12 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YEIBB6MKELOOMNINIERPJKG4P6}

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	2026-05-18T04:37:00.839660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c11010f98a22dce6350d4122f4a8dc7f96bd949248585364b027976cb5bac4c6

Aliases

arxiv: gr-qc/0512070 · arxiv_version: gr-qc/0512070v2 · doi: 10.48550/arxiv.gr-qc/0512070 · pith_short_12: YEIBB6MKELOO · pith_short_16: YEIBB6MKELOOMNIN · pith_short_8: YEIBB6MK

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/YEIBB6MKELOOMNINIERPJKG4P6 \
  | 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: c11010f98a22dce6350d4122f4a8dc7f96bd949248585364b027976cb5bac4c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46ffe6b052a2edfdd956ada4a7f538cc32caff9c017c0f293ae798961778b60",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-12-12T17:31:35Z",
    "title_canon_sha256": "f09434850eb13a8080c944ac87667fce2937afbbe3596b0f4586f5dc34249836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0512070",
    "kind": "arxiv",
    "version": 2
  }
}