Pith Number

pith:GI2AM5EY

pith:2020:GI2AM5EYV5AXJYBVOK4DQKU5JY

not attested not anchored not stored refs pending

From multi-gravitons to Black holes: The role of complex saddles

Alejandro Cabo-Bizet

arxiv:2012.04815 v1 · 2020-12-09 · 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{GI2AM5EYV5AXJYBVOK4DQKU5JY}

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.

Cited by

2 papers in Pith

Gravitational index, black hole saddle degeneracy, and one-form symmetry

Probing decoupled Throats of AdS$_{D}$ Black Holes in $D=6,7$

Receipt and verification

First computed	2026-07-05T01:58:15.441243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3234067498af4174e03572b8382a9d4e27bb5c99012a0c2e1f2be20e97c360d7

Aliases

arxiv: 2012.04815 · arxiv_version: 2012.04815v1 · doi: 10.48550/arxiv.2012.04815 · pith_short_12: GI2AM5EYV5AX · pith_short_16: GI2AM5EYV5AXJYBV · pith_short_8: GI2AM5EY

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/GI2AM5EYV5AXJYBVOK4DQKU5JY \
  | 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: 3234067498af4174e03572b8382a9d4e27bb5c99012a0c2e1f2be20e97c360d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "840217fb13d16eaa8d1dcca51be24d3bcfa5e1f4f9c7fb85e2ce8b724d19d15f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-12-09T01:36:34Z",
    "title_canon_sha256": "db4382ca9aadc3706a6e4b2d08f6fe1072b29a3df27a4aca342e73c829d8f945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.04815",
    "kind": "arxiv",
    "version": 1
  }
}