Pith Number

pith:U6P2DOIU

pith:2011:U6P2DOIUAPUJRWLEA7FWHTRKDV

not attested not anchored not stored refs pending

Black hole horizons from within loop quantum gravity

Hanno Sahlmann

arxiv:1104.4691 v3 · 2011-04-25 · gr-qc · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6P2DOIUAPUJRWLEA7FWHTRKDV}

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	2026-05-18T04:13:39.110324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a79fa1b91403e898d96407cb63ce2a1d5fcbba4fa7c81fef7d4c2625f574914a

Aliases

arxiv: 1104.4691 · arxiv_version: 1104.4691v3 · doi: 10.48550/arxiv.1104.4691 · pith_short_12: U6P2DOIUAPUJ · pith_short_16: U6P2DOIUAPUJRWLE · pith_short_8: U6P2DOIU

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/U6P2DOIUAPUJRWLEA7FWHTRKDV \
  | 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: a79fa1b91403e898d96407cb63ce2a1d5fcbba4fa7c81fef7d4c2625f574914a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa0140892480f59f5977de4876f99174023f04c31b46b5166639afc4223bcb66",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-25T07:07:58Z",
    "title_canon_sha256": "e42b7baefab06d50efc1f49e48d7740ab0b36d149d337fb57dbb2d4b3370df7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4691",
    "kind": "arxiv",
    "version": 3
  }
}