Pith Number

pith:DJIJCHTJ

pith:2015:DJIJCHTJF7756SWL7BV5ZUWW5L

not attested not anchored not stored refs pending

The quantum realm of the "Little Sibling" of the Big Rip singularity

Francisco Cabral, Imanol Albarran, Mariam Bouhmadi-L\'opez, Prado Mart\'in-Moruno

arxiv:1509.07398 v1 · 2015-09-24 · 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{DJIJCHTJF7756SWL7BV5ZUWW5L}

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	2026-05-18T01:25:38.306079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a50911e692fffdf4acbf86bdcd2d6eaea6c0a00d9e92503129b2e0b05005b3d

Aliases

arxiv: 1509.07398 · arxiv_version: 1509.07398v1 · doi: 10.48550/arxiv.1509.07398 · pith_short_12: DJIJCHTJF775 · pith_short_16: DJIJCHTJF7756SWL · pith_short_8: DJIJCHTJ

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/DJIJCHTJF7756SWL7BV5ZUWW5L \
  | 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: 1a50911e692fffdf4acbf86bdcd2d6eaea6c0a00d9e92503129b2e0b05005b3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e52c147771b9ee38897126f963286bdf675ca01e04d51e9594ff5a36f12122b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-24T15:03:12Z",
    "title_canon_sha256": "a54b7fa1e549ff1deed74565d24ac4b5c7af06366e41dbc9086ed2a65b9bcb1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07398",
    "kind": "arxiv",
    "version": 1
  }
}