Pith Number

pith:P3LU5NZI

pith:2016:P3LU5NZIWLURODGO2LGM5DISXP

not attested not anchored not stored refs pending

Bose-Einstein graviton condensate in a Schwarzschild black hole

Dom\`enec Espriu, Jorge Alfaro, Luciano Gabbanelli

arxiv:1609.01639 v3 · 2016-09-06 · gr-qc · 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{P3LU5NZIWLURODGO2LGM5DISXP}

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	2026-05-18T00:27:30.642622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed74eb728b2e9170cced2ccce8d12bbd782fdedd62edc0156c2b460455d38bf

Aliases

arxiv: 1609.01639 · arxiv_version: 1609.01639v3 · doi: 10.48550/arxiv.1609.01639 · pith_short_12: P3LU5NZIWLUR · pith_short_16: P3LU5NZIWLURODGO · pith_short_8: P3LU5NZI

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/P3LU5NZIWLURODGO2LGM5DISXP \
  | 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: 7ed74eb728b2e9170cced2ccce8d12bbd782fdedd62edc0156c2b460455d38bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e6dc2d6177b20182ee21f58960fb85439c3ad2f8ccafef53f642ebf90ff381",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-06T16:25:13Z",
    "title_canon_sha256": "6077c56972f47f1f0995a9598b2dd3d938a1c88085b7cda579b6c79ac55d12fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01639",
    "kind": "arxiv",
    "version": 3
  }
}