Pith Number

pith:I35U26SD

pith:2015:I35U26SDQVDIJEKLPKDV3WU76H

not attested not anchored not stored refs pending

Double Images from a Single Black Hole

Christos Tzounis, Robert B. Mann, Shohreh Abdolrahimi

arxiv:1510.03530 v3 · 2015-10-13 · 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{I35U26SDQVDIJEKLPKDV3WU76H}

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	2026-05-18T01:24:18.041918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46fb4d7a43854684914b7a875dda9ff1c17fffd53ffe5be3700d4aef70da302b

Aliases

arxiv: 1510.03530 · arxiv_version: 1510.03530v3 · doi: 10.48550/arxiv.1510.03530 · pith_short_12: I35U26SDQVDI · pith_short_16: I35U26SDQVDIJEKL · pith_short_8: I35U26SD

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/I35U26SDQVDIJEKLPKDV3WU76H \
  | 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: 46fb4d7a43854684914b7a875dda9ff1c17fffd53ffe5be3700d4aef70da302b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4986af42090680f6bea95d9918400269ad7a14939eab4687d5edbe7a1f3626c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-13T04:44:27Z",
    "title_canon_sha256": "e9d75978fce50981f53e8bf4d385eb5a0065ad1a14028d2c3decf69c043fc49f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03530",
    "kind": "arxiv",
    "version": 3
  }
}