Pith Number

pith:WZV6X3SZ

pith:2015:WZV6X3SZCS4QL2J3WPHTJGZP2R

not attested not anchored not stored refs pending

Transition Redshift: New constraints from parametric and nonparametric methods

Amitabha Mukherjee, Deepak Jain, Nilza Pires, Nisha Rani, Shobhit Mahajan

arxiv:1503.08543 v3 · 2015-03-30 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZV6X3SZCS4QL2J3WPHTJGZP2R}

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	2026-05-18T01:23:24.391530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b66bebee5914b905e93bb3cf349b2fd44069c2cde24baeee4037db0c1463ad99

Aliases

arxiv: 1503.08543 · arxiv_version: 1503.08543v3 · doi: 10.48550/arxiv.1503.08543 · pith_short_12: WZV6X3SZCS4Q · pith_short_16: WZV6X3SZCS4QL2J3 · pith_short_8: WZV6X3SZ

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/WZV6X3SZCS4QL2J3WPHTJGZP2R \
  | 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: b66bebee5914b905e93bb3cf349b2fd44069c2cde24baeee4037db0c1463ad99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98793b3a0d64babc94edd42330fb6785d07d4d21f8ed7c9639237bc7cbad559d",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-03-30T05:40:57Z",
    "title_canon_sha256": "16903a360ff41faa83367f9997d711954cf2a9fc4b37aa4380d0dd8cb8ff985a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08543",
    "kind": "arxiv",
    "version": 3
  }
}