Pith Number

pith:PXBTE6CH

pith:2004:PXBTE6CHJCDUM5KYZG7T2JM35J

not attested not anchored not stored refs pending

Vacuum polarization around stars: nonlocal approximation

Alejandro Satz, Ezequiel Alvarez, Francisco D. Mazzitelli

arxiv:gr-qc/0411046 v1 · 2004-11-09 · 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{PXBTE6CHJCDUM5KYZG7T2JM35J}

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.

Cited by

1 paper in Pith

On Modelling the Surfaces of Celestial Bodies in Quantum Gravity

Receipt and verification

First computed	2026-05-18T04:18:02.412261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc33278474887467558c9bf3d259bea7bc3b8e78ff37c41f701c4c6e9a10e0d

Aliases

arxiv: gr-qc/0411046 · arxiv_version: gr-qc/0411046v1 · doi: 10.48550/arxiv.gr-qc/0411046 · pith_short_12: PXBTE6CHJCDU · pith_short_16: PXBTE6CHJCDUM5KY · pith_short_8: PXBTE6CH

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/PXBTE6CHJCDUM5KYZG7T2JM35J \
  | 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: 7dc33278474887467558c9bf3d259bea7bc3b8e78ff37c41f701c4c6e9a10e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ce73c58c0a2505a73e1c4467d227c71a001d97b6893bcc36ff2b3dd98c37ac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-11-09T14:59:54Z",
    "title_canon_sha256": "832f626d74090c102d2b1abb0279fed8d8605eaf3b0879d91fd0747cdc08cafe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0411046",
    "kind": "arxiv",
    "version": 1
  }
}