Pith Number

pith:2QWYDI6A

pith:1998:2QWYDI6A3ZXJSYMWJ2RQE3EVVP

not attested not anchored not stored refs pending

On Random Bubble Lattices

Andrew de Laix, Tanmay Vachaspati

arxiv:hep-ph/9802423 v3 · 1998-02-25 · hep-ph · astro-ph · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QWYDI6A3ZXJSYMWJ2RQE3EVVP}

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	2026-07-04T16:09:10.515651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d42d81a3c0de6e9961964ea3026c95abfe5b7eca4ff15f69fe768e3f9287b170

Aliases

arxiv: hep-ph/9802423 · arxiv_version: hep-ph/9802423v3 · doi: 10.48550/arxiv.hep-ph/9802423 · pith_short_12: 2QWYDI6A3ZXJ · pith_short_16: 2QWYDI6A3ZXJSYMW · pith_short_8: 2QWYDI6A

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/2QWYDI6A3ZXJSYMWJ2RQE3EVVP \
  | 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: d42d81a3c0de6e9961964ea3026c95abfe5b7eca4ff15f69fe768e3f9287b170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fdc791444f30558311a5309377dbd495db43b901ab8780ab707652b48ef75a5",
    "cross_cats_sorted": [
      "astro-ph",
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-02-25T22:50:13Z",
    "title_canon_sha256": "bd545981f42df0e6cacd5d21ffaf3d23a98078a79ff44eca9cc38e2b7ca4e7a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9802423",
    "kind": "arxiv",
    "version": 3
  }
}