Pith Number

pith:4P6VAFR3

pith:2003:4P6VAFR36SZGAMJ47DF6E5N44H

not attested not anchored not stored refs pending

Topological properties of the Cosmic Microwave Background polarization map

Arthur Lue (CWRU), Tanmay Vachaspati

arxiv:astro-ph/0304394 v2 · 2003-04-22 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4P6VAFR36SZGAMJ47DF6E5N44H}

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	2026-07-04T16:36:54.268536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3fd50163bf4b260313cf8cbe275bce1d14a1cd43b2a4e8cdf5196d24191afaa

Aliases

arxiv: astro-ph/0304394 · arxiv_version: astro-ph/0304394v2 · doi: 10.48550/arxiv.astro-ph/0304394 · pith_short_12: 4P6VAFR36SZG · pith_short_16: 4P6VAFR36SZGAMJ4 · pith_short_8: 4P6VAFR3

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/4P6VAFR36SZGAMJ47DF6E5N44H \
  | 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: e3fd50163bf4b260313cf8cbe275bce1d14a1cd43b2a4e8cdf5196d24191afaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d043dc10708bec513392b07810a255a7c0f51dcc2a23fc8bc6e11d18e98e8a71",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-04-22T20:15:41Z",
    "title_canon_sha256": "3f719196ec764c0e049efe72b3b19dc336456d2e41cbb4b602ee754b3ce7351f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0304394",
    "kind": "arxiv",
    "version": 2
  }
}