Pith Number

pith:Q2QL5DFM

pith:1998:Q2QL5DFMU4MUUKS77LFFWNZ24I

not attested not anchored not stored refs pending

Topological Inflation with Multiple Winding

Andrew A. de Laix, Mark Trodden, Tanmay Vachaspati (Case Western Reserve University)

arxiv:gr-qc/9801016 v2 · 1998-01-07 · gr-qc · astro-ph · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2QL5DFMU4MUUKS77LFFWNZ24I}

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	2026-05-18T01:08:07.721677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a0be8caca7194a2a5ffaca5b373ae21103cc4db39151678ce28774d316dc3a

Aliases

arxiv: gr-qc/9801016 · arxiv_version: gr-qc/9801016v2 · doi: 10.48550/arxiv.gr-qc/9801016 · pith_short_12: Q2QL5DFMU4MU · pith_short_16: Q2QL5DFMU4MUUKS7 · pith_short_8: Q2QL5DFM

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/Q2QL5DFMU4MUUKS77LFFWNZ24I \
  | 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: 86a0be8caca7194a2a5ffaca5b373ae21103cc4db39151678ce28774d316dc3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edcd4e089042c049b454a32151fd139977063c6602aa71929da609988f1c7798",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-01-07T20:58:04Z",
    "title_canon_sha256": "45e00d710519acf7c407ef84f24ceeee3a832140fd4cf6e154310967e332a433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9801016",
    "kind": "arxiv",
    "version": 2
  }
}