Pith Number

pith:FRFNJIRS

pith:2009:FRFNJIRSYHXQEIWIA56NEXFCVH

not attested not anchored not stored refs pending

Bose-Einstein condensed supermassive black holes: a case of renormalized quantum field theory in curved space-time

Theo M. Nieuwenhuizen, Vaclav Spicka

arxiv:0910.5377 v1 · 2009-10-28 · 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{FRFNJIRSYHXQEIWIA56NEXFCVH}

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	2026-05-18T02:11:02.199811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4ad4a232c1ef0222c8077cd25ca2a9ea10a8cfdc3071df9eb4bf346131b264

Aliases

arxiv: 0910.5377 · arxiv_version: 0910.5377v1 · doi: 10.48550/arxiv.0910.5377 · pith_short_12: FRFNJIRSYHXQ · pith_short_16: FRFNJIRSYHXQEIWI · pith_short_8: FRFNJIRS

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/FRFNJIRSYHXQEIWIA56NEXFCVH \
  | 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: 2c4ad4a232c1ef0222c8077cd25ca2a9ea10a8cfdc3071df9eb4bf346131b264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7a68e6ab0acb5001e19cff5d48855375ebd02f9157bff68fd04002654471f3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-10-28T13:50:51Z",
    "title_canon_sha256": "8c81efca5957bcf13e70367ca18b6d809c07ab7b3693fed5a2203ffd39e7c62b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5377",
    "kind": "arxiv",
    "version": 1
  }
}