Pith Number

pith:3Q2U6PTS

pith:2026:3Q2U6PTS2S6HVTS32U4S7IIAHA

not attested not anchored not stored refs pending

Model-Independent Indication for a Localized Anomaly in the Late-Time Expansion History

Anjan A Sen, Eleonora Di Valentino, Purba Mukherjee, Shibendu Gupta Choudhury

arxiv:2607.13009 v1 · 2026-07-14 · astro-ph.CO · 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{3Q2U6PTS2S6HVTS32U4S7IIAHA}

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	2026-07-15T01:22:31.101722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc354f3e72d4bc7ace5bd5392fa10038162270957575a4945c4a9b24055ecff4

Aliases

arxiv: 2607.13009 · arxiv_version: 2607.13009v1 · doi: 10.48550/arxiv.2607.13009 · pith_short_12: 3Q2U6PTS2S6H · pith_short_16: 3Q2U6PTS2S6HVTS3 · pith_short_8: 3Q2U6PTS

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/3Q2U6PTS2S6HVTS32U4S7IIAHA \
  | 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: dc354f3e72d4bc7ace5bd5392fa10038162270957575a4945c4a9b24055ecff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de161a01672a7a0f32a5318eb9836a21ba151bf8bb0d389da6434324dfebd1d7",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-14T17:51:30Z",
    "title_canon_sha256": "65287aa74ad39b37248f2ba398bb31c2d9eb4a9b727917231dffb5c2e9ab03c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13009",
    "kind": "arxiv",
    "version": 1
  }
}