Pith Number

pith:OSVMY52H

pith:2026:OSVMY52HE25IRTUIL5FS5TA6CL

not attested not anchored not stored refs pending

Upper bounds on the force function in spatially regular self-gravitating matter configurations

Shahar Hod

arxiv:2607.23661 v1 · 2026-07-26 · 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{OSVMY52HE25IRTUIL5FS5TA6CL}

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	2026-07-28T01:23:04.230585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74aacc774726ba88ce885f4b2ecc1e12c8bcb60662329ae3d279eb85b05fef69

Aliases

arxiv: 2607.23661 · arxiv_version: 2607.23661v1 · doi: 10.48550/arxiv.2607.23661 · pith_short_12: OSVMY52HE25I · pith_short_16: OSVMY52HE25IRTUI · pith_short_8: OSVMY52H

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/OSVMY52HE25IRTUIL5FS5TA6CL \
  | 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: 74aacc774726ba88ce885f4b2ecc1e12c8bcb60662329ae3d279eb85b05fef69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32004a8039df8974b571a80961556de3cc654e6c742541e5401bd5e96e552d26",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-26T13:51:11Z",
    "title_canon_sha256": "023611c4730beb4b5598df04d2aa50744c4c2fe1f74eddf76114bb064e7b2f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23661",
    "kind": "arxiv",
    "version": 1
  }
}