Pith Number

pith:E3P4VORH

pith:2012:E3P4VORHYJOAM3454VNTUWN452

not attested not anchored not stored refs pending

Light paths of normal and phantom Einstein-Maxwell-dilaton black holes

Mustapha Azreg-A\"inou

arxiv:1209.5232 v3 · 2012-09-24 · 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{E3P4VORHYJOAM3454VNTUWN452}

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

1 paper in Pith

The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential

Receipt and verification

First computed	2026-05-18T03:37:08.062012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26dfcaba27c25c066f9de55b3a59bceeaa1010983d199f860a1f50be1fccbf9c

Aliases

arxiv: 1209.5232 · arxiv_version: 1209.5232v3 · doi: 10.48550/arxiv.1209.5232 · pith_short_12: E3P4VORHYJOA · pith_short_16: E3P4VORHYJOAM345 · pith_short_8: E3P4VORH

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/E3P4VORHYJOAM3454VNTUWN452 \
  | 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: 26dfcaba27c25c066f9de55b3a59bceeaa1010983d199f860a1f50be1fccbf9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00d0ccc478cc4c19f8679472a8f8b378cf661be641988c85e34fc890cdf80970",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-09-24T11:34:21Z",
    "title_canon_sha256": "74d1ce6204ecff8b79f305407c4158264fec6e93ff84c607b0305bd4a718b288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5232",
    "kind": "arxiv",
    "version": 3
  }
}