Pith Number

pith:F5FHRUAK

pith:2016:F5FHRUAKBCIXKMY64WG5PWOSP4

not attested not anchored not stored refs pending

Black holes with constant topological Euler density

Elias C. Vagenas, Pedro Bargue\~no

arxiv:1609.07933 v1 · 2016-09-26 · 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{F5FHRUAKBCIXKMY64WG5PWOSP4}

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	2026-05-18T00:57:10.478746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f4a78d00a089175331ee58dd7d9d27f04b4a6f0c43ef9e5d47fe0390e8f31a2

Aliases

arxiv: 1609.07933 · arxiv_version: 1609.07933v1 · doi: 10.48550/arxiv.1609.07933 · pith_short_12: F5FHRUAKBCIX · pith_short_16: F5FHRUAKBCIXKMY6 · pith_short_8: F5FHRUAK

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/F5FHRUAKBCIXKMY64WG5PWOSP4 \
  | 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: 2f4a78d00a089175331ee58dd7d9d27f04b4a6f0c43ef9e5d47fe0390e8f31a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8088750c2e77b3a5c001f6d8921fd2b8db4c3edfe4f7ce3e99696cda07eb96e5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-26T11:48:09Z",
    "title_canon_sha256": "c8f922161d1099d7ac587d448dab5bbf40fdb0e8fedd317ed40755fb0b997254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07933",
    "kind": "arxiv",
    "version": 1
  }
}