Pith Number

pith:VZRHFCVR

pith:2026:VZRHFCVRI6DBQU7EJKPGCWYICZ

not attested not anchored not stored refs pending

Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries

Mihailo \v{C}ubrovi\'c, Milica Stepanovi\'c, Vladan Djuki\'c

arxiv:2607.03434 v1 · 2026-07-03 · hep-th · gr-qc · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZRHFCVRI6DBQU7EJKPGCWYICZ}

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	2026-07-07T02:17:46.641364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae62728ab147861853e44a9e615b08165630a57ff1d9f3c98e1e7e79ae0b820b

Aliases

arxiv: 2607.03434 · arxiv_version: 2607.03434v1 · doi: 10.48550/arxiv.2607.03434 · pith_short_12: VZRHFCVRI6DB · pith_short_16: VZRHFCVRI6DBQU7E · pith_short_8: VZRHFCVR

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/VZRHFCVRI6DBQU7EJKPGCWYICZ \
  | 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: ae62728ab147861853e44a9e615b08165630a57ff1d9f3c98e1e7e79ae0b820b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "572f3cf89547ebb1bcbd7f8d6684cd3f8499f6779be178697aa57368565d5480",
    "cross_cats_sorted": [
      "gr-qc",
      "nlin.CD"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-03T15:46:30Z",
    "title_canon_sha256": "4041d109f971af7047a7fdce3c48abab1bbe90160e7bc4808795fdbe582e7335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03434",
    "kind": "arxiv",
    "version": 1
  }
}