Pith Number

pith:T5MTNV5K

pith:2015:T5MTNV5KUXJQLJPZ5RKBIXAV7Q

not attested not anchored not stored refs pending

Supermassive Black Holes from self-gravitating Bose-Einstein Condensates comprised of Ultra-light Bosonic Dark Matter

Eklavya Thareja, Patrick Das Gupta

arxiv:1512.08623 v3 · 2015-12-29 · 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{T5MTNV5KUXJQLJPZ5RKBIXAV7Q}

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	2026-05-17T23:57:33.237976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5936d7aaa5d305a5f9ec54145c15fc071ac1f8866315569218b2f2f9855057

Aliases

arxiv: 1512.08623 · arxiv_version: 1512.08623v3 · doi: 10.48550/arxiv.1512.08623 · pith_short_12: T5MTNV5KUXJQ · pith_short_16: T5MTNV5KUXJQLJPZ · pith_short_8: T5MTNV5K

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/T5MTNV5KUXJQLJPZ5RKBIXAV7Q \
  | 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: 9f5936d7aaa5d305a5f9ec54145c15fc071ac1f8866315569218b2f2f9855057

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f307486c872b4f13a177cdfa557f7f4d9d8228b4712cccc88b77e8ca5732b76b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-29T08:53:20Z",
    "title_canon_sha256": "528f31ed07514d0053f36f3236e91e94714c73f03b21bab0b02b73d5ebb7dbf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08623",
    "kind": "arxiv",
    "version": 3
  }
}