Pith Number

pith:ILGQEEDC

pith:2005:ILGQEEDCLTI5BDGDEDSWA7VSVY

not attested not anchored not stored refs pending

Statefinders, higher-order energy conditions and sudden future singularities

Mariusz P. Dabrowski

arxiv:gr-qc/0505069 v3 · 2005-05-13 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILGQEEDCLTI5BDGDEDSWA7VSVY}

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

Updates on dipolar anisotropy in local measurements of the Hubble constant from Cosmicflows-4

Receipt and verification

First computed	2026-07-04T16:55:13.983265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42cd0210625cd1d08cc320e5607eb2ae11c7f4778d8e206dd35e1a69bf32da3d

Aliases

arxiv: gr-qc/0505069 · arxiv_version: gr-qc/0505069v3 · doi: 10.48550/arxiv.gr-qc/0505069 · pith_short_12: ILGQEEDCLTI5 · pith_short_16: ILGQEEDCLTI5BDGD · pith_short_8: ILGQEEDC

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/ILGQEEDCLTI5BDGDEDSWA7VSVY \
  | 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: 42cd0210625cd1d08cc320e5607eb2ae11c7f4778d8e206dd35e1a69bf32da3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aec03029c95d98431a0770e58eb0c8bf8c63baca66e281b5eb25a84769bf9f7",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-05-13T14:51:43Z",
    "title_canon_sha256": "ef356858bc2c272bd1cebe823ffc0f2e8967faca242fe85e197dbbc0b4615530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0505069",
    "kind": "arxiv",
    "version": 3
  }
}