Pith Number

pith:7VRVPOWJ

pith:2020:7VRVPOWJNGXRFXTHX3KT7BMLWB

not attested not anchored not stored refs pending

Symmetry break in the eight bubble compaction

Giulia Bevilacqua

arxiv:2007.15399 v1 · 2020-07-30 · cond-mat.soft · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VRVPOWJNGXRFXTHX3KT7BMLWB}

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	2026-07-05T01:23:30.558084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd6357bac969af12de67bed53f858bb064f9b5e4030a617f2ca246ec3b9d1834

Aliases

arxiv: 2007.15399 · arxiv_version: 2007.15399v1 · doi: 10.48550/arxiv.2007.15399 · pith_short_12: 7VRVPOWJNGXR · pith_short_16: 7VRVPOWJNGXRFXTH · pith_short_8: 7VRVPOWJ

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/7VRVPOWJNGXRFXTHX3KT7BMLWB \
  | 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: fd6357bac969af12de67bed53f858bb064f9b5e4030a617f2ca246ec3b9d1834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f867a611db4724b9cc9afbbb547224785a3038160e038985342b4b5902cc1eb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2020-07-30T11:50:22Z",
    "title_canon_sha256": "7d8dbc5a3feea589a30e96ff35e9279ca2d98d8d224838998ae296993d161a1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.15399",
    "kind": "arxiv",
    "version": 1
  }
}