Pith Number

pith:M5FNJ4U4

pith:2025:M5FNJ4U4JOX4JHRHA4QNU3AQEH

not attested not anchored not stored refs pending

Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds

Shahar Hod

arxiv:2507.03079 v1 · 2025-07-03 · gr-qc · astro-ph.HE · 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{M5FNJ4U4JOX4JHRHA4QNU3AQEH}

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	2026-07-05T11:31:52.324720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674ad4f29c4bafc49e270720da6c1021cd76b64e257c7138242954e1cb32ea17

Aliases

arxiv: 2507.03079 · arxiv_version: 2507.03079v1 · doi: 10.48550/arxiv.2507.03079 · pith_short_12: M5FNJ4U4JOX4 · pith_short_16: M5FNJ4U4JOX4JHRH · pith_short_8: M5FNJ4U4

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/M5FNJ4U4JOX4JHRHA4QNU3AQEH \
  | 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: 674ad4f29c4bafc49e270720da6c1021cd76b64e257c7138242954e1cb32ea17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c7fc65095654badf26c80e243a04c1212b0c7dd15af969cd9c1d1e01dd47652",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-03T18:00:04Z",
    "title_canon_sha256": "93334bcc822cc2e8dc466f7da28253eef159318ced78f74265d17fcfe72d453c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03079",
    "kind": "arxiv",
    "version": 1
  }
}