Pith Number

pith:XCBY3XN3

pith:2016:XCBY3XN3CIXVDSFKF6GUOASYAN

not attested not anchored not stored refs pending

Vacuum polarization throughout general subtracted black hole spacetimes

Alejandro Satz, Mirjam Cvetic

arxiv:1612.06766 v2 · 2016-12-20 · 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{XCBY3XN3CIXVDSFKF6GUOASYAN}

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	2026-05-18T00:44:51.855313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8838dddbb122f51c8aa2f8d47025803458a3a930eacad98ee41f097388143dd

Aliases

arxiv: 1612.06766 · arxiv_version: 1612.06766v2 · doi: 10.48550/arxiv.1612.06766 · pith_short_12: XCBY3XN3CIXV · pith_short_16: XCBY3XN3CIXVDSFK · pith_short_8: XCBY3XN3

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/XCBY3XN3CIXVDSFKF6GUOASYAN \
  | 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: b8838dddbb122f51c8aa2f8d47025803458a3a930eacad98ee41f097388143dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef593a42e93edb667c99878e352a7f914fc143c529673b4b1206d1623703df1c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-20T17:15:46Z",
    "title_canon_sha256": "9b2fdb9abb21f10e5dc964ea800b67929708f081e93f5ba27f8ff89d1981b7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06766",
    "kind": "arxiv",
    "version": 2
  }
}