Pith Number

pith:4KM4WYGG

pith:2013:4KM4WYGG2GQSVXJPU57L335UXE

not attested not anchored not stored refs pending

On the many saddle points description of quantum black holes

ASC), Cristiano Germani (Munich U.

arxiv:1307.6238 v2 · 2013-07-23 · hep-th · 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{4KM4WYGG2GQSVXJPU57L335UXE}

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	2026-05-18T01:48:40.907754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e299cb60c6d1a12add2fa77ebdefb4b92335010490259315abd36dfb2dca95c9

Aliases

arxiv: 1307.6238 · arxiv_version: 1307.6238v2 · doi: 10.48550/arxiv.1307.6238 · pith_short_12: 4KM4WYGG2GQS · pith_short_16: 4KM4WYGG2GQSVXJP · pith_short_8: 4KM4WYGG

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/4KM4WYGG2GQSVXJPU57L335UXE \
  | 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: e299cb60c6d1a12add2fa77ebdefb4b92335010490259315abd36dfb2dca95c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55189707fcdfe01c4f24846ee7e8042b6af30b8cb6f2eb100e0772b850945a6a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-07-23T20:30:39Z",
    "title_canon_sha256": "652c06fd2972167f4860851f4b1322d6d92b87d3ed63457643a0cfbd5ed4cf2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6238",
    "kind": "arxiv",
    "version": 2
  }
}