Pith Number

pith:B3SB5LIJ

pith:2025:B3SB5LIJN7U5JE4DFJUWJ3O5VG

not attested not anchored not stored refs pending

Reconstruction of the observable universe from the integrated Sachs-Wolfe effect

Julianne Chung, Yiran Wang

arxiv:2507.01399 v1 · 2025-07-02 · math-ph · cs.NA · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3SB5LIJN7U5JE4DFJUWJ3O5VG}

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	2026-07-05T11:30:48.032405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee41ead096fe9d493832a6964eddda9883654b41cb910eafddbeae14ec47202

Aliases

arxiv: 2507.01399 · arxiv_version: 2507.01399v1 · doi: 10.48550/arxiv.2507.01399 · pith_short_12: B3SB5LIJN7U5 · pith_short_16: B3SB5LIJN7U5JE4D · pith_short_8: B3SB5LIJ

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/B3SB5LIJN7U5JE4DFJUWJ3O5VG \
  | 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: 0ee41ead096fe9d493832a6964eddda9883654b41cb910eafddbeae14ec47202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f6657714792ec5f768445d7fd5dba6a66769ea51820715cbbc911f5448d82d5",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-02T06:30:21Z",
    "title_canon_sha256": "301a0d5e6b998376f81b8dc8d57ae236991176b2bbfa38f808882473978f202a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01399",
    "kind": "arxiv",
    "version": 1
  }
}