Pith Number

pith:PDZY6BOB

pith:2015:PDZY6BOBZEA3SHH2Y3R5GVJQ5P

not attested not anchored not stored refs pending

A dual null formalism for the collapse of fluids in a cosmological background

Alan Maciel, Jos\'e P. Mimoso (DFUL), Morgan Le Delliou (IFT-UNESP)

arxiv:1506.07122 v2 · 2015-06-23 · 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{PDZY6BOBZEA3SHH2Y3R5GVJQ5P}

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

Charged cosmological black holes: a thorough study of a family of solutions

Receipt and verification

First computed	2026-05-18T01:28:54.645915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f38f05c1c901b91cfac6e3d35530ebd72d14e8c8aded0b6d4eb17bf807b59c

Aliases

arxiv: 1506.07122 · arxiv_version: 1506.07122v2 · doi: 10.48550/arxiv.1506.07122 · pith_short_12: PDZY6BOBZEA3 · pith_short_16: PDZY6BOBZEA3SHH2 · pith_short_8: PDZY6BOB

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/PDZY6BOBZEA3SHH2Y3R5GVJQ5P \
  | 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: 78f38f05c1c901b91cfac6e3d35530ebd72d14e8c8aded0b6d4eb17bf807b59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59a76a6fa25113d4998ca5174d7c734f9df88ddec53cfb01dbc893165278d420",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-06-23T18:27:00Z",
    "title_canon_sha256": "08f9e4f2e30f856eb1a6a96052e37160d8b6720cfa9c3061bb5b58a65bcb4763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07122",
    "kind": "arxiv",
    "version": 2
  }
}