Pith Number

pith:QAJI2IGC

pith:1999:QAJI2IGCODNSAFKWXOECWQC6HR

not attested not anchored not stored refs pending

Anisotropic 'hairs' in string cosmology

Kerstin E. Kunze, Ruth Durrer

arxiv:gr-qc/9912081 v1 · 1999-12-20 · 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{QAJI2IGCODNSAFKWXOECWQC6HR}

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	2026-05-18T03:42:34.392599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80128d20c270db201556bb882b405e3c567f5fc76d617f8f87769e1ba522d6b0

Aliases

arxiv: gr-qc/9912081 · arxiv_version: gr-qc/9912081v1 · doi: 10.48550/arxiv.gr-qc/9912081 · pith_short_12: QAJI2IGCODNS · pith_short_16: QAJI2IGCODNSAFKW · pith_short_8: QAJI2IGC

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/QAJI2IGCODNSAFKWXOECWQC6HR \
  | 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: 80128d20c270db201556bb882b405e3c567f5fc76d617f8f87769e1ba522d6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baab63caadf5a753c1a7d9c640ac0d2f176f06b7b7b5a4f2cdc5bcebc9e09278",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-12-20T14:03:03Z",
    "title_canon_sha256": "5f7d0c513daf03b12995615fdf8ee01b2463b6279c8e9e890d17dd6cf1911c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9912081",
    "kind": "arxiv",
    "version": 1
  }
}