Pith Number

pith:757UTOIX

pith:2012:757UTOIXEDMXHDKPHZ24RCG36X

not attested not anchored not stored refs pending

Hubble flows and gravitational potentials in observable Universe

Alexander Zhuk, Maxim Eingorn

arxiv:1205.2384 v2 · 2012-05-10 · astro-ph.CO · gr-qc · hep-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{757UTOIXEDMXHDKPHZ24RCG36X}

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	2026-05-18T03:45:00.386809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff7f49b91720d9738d4f3e75c888dbf5f7a313f356e77ebccc79fe469ddb8060

Aliases

arxiv: 1205.2384 · arxiv_version: 1205.2384v2 · doi: 10.48550/arxiv.1205.2384 · pith_short_12: 757UTOIXEDMX · pith_short_16: 757UTOIXEDMXHDKP · pith_short_8: 757UTOIX

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/757UTOIXEDMXHDKPHZ24RCG36X \
  | 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: ff7f49b91720d9738d4f3e75c888dbf5f7a313f356e77ebccc79fe469ddb8060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58bb3164250cd4c98c23d4760560cb4164125b911881f629db5b29b4eb47009",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-10T20:26:42Z",
    "title_canon_sha256": "9b84703ddaa9d7b6431564a72ebf5f3fe8082b0a60cfd9a7085ff61349ce8bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2384",
    "kind": "arxiv",
    "version": 2
  }
}