Pith Number

pith:H32DSHAC

pith:2021:H32DSHACSWLUUQ2SH7AE25QH7O

not attested not anchored not stored refs pending

Modified Yang-Lee theory for nonlocal gravitational potential and their phase transition

Carlos Ar\'aoz Alvarado, Celia Escamilla-Rivera

arxiv:2112.07600 v1 · 2021-12-14 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H32DSHACSWLUUQ2SH7AE25QH7O}

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	2026-07-05T03:48:09.990653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef4391c0295974a43523fc04d7607fb8e3e984dd4d9e16cfb61159655dac254

Aliases

arxiv: 2112.07600 · arxiv_version: 2112.07600v1 · doi: 10.48550/arxiv.2112.07600 · pith_short_12: H32DSHACSWLU · pith_short_16: H32DSHACSWLUUQ2S · pith_short_8: H32DSHAC

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/H32DSHACSWLUUQ2SH7AE25QH7O \
  | 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: 3ef4391c0295974a43523fc04d7607fb8e3e984dd4d9e16cfb61159655dac254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b63b944900edab4226ed0cb4fdaeb52ff751829cb850502ade77035f7e3f58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-14T17:51:50Z",
    "title_canon_sha256": "3aa226f4c8a7f9b658e7ad6874edaa30fcec8be721deac3be6d6461adea11e81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.07600",
    "kind": "arxiv",
    "version": 1
  }
}