Pith Number

pith:VZLXK2J4

pith:2021:VZLXK2J4XG4M7NR4MK5LSJRBJ5

not attested not anchored not stored refs pending

A New Estimator for Phase Statistics

D. Munshi, F. R. Bouchet, J. D. McEwen, R. Takahashi, T. D. Kitching

arxiv:2109.08047 v1 · 2021-09-16 · 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{VZLXK2J4XG4M7NR4MK5LSJRBJ5}

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	2026-07-05T05:05:00.715920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5775693cb9b8cfb63c62bab926214f5effc2d30ded8128a8c3ca80b42d66ce

Aliases

arxiv: 2109.08047 · arxiv_version: 2109.08047v1 · doi: 10.48550/arxiv.2109.08047 · pith_short_12: VZLXK2J4XG4M · pith_short_16: VZLXK2J4XG4M7NR4 · pith_short_8: VZLXK2J4

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/VZLXK2J4XG4M7NR4MK5LSJRBJ5 \
  | 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: ae5775693cb9b8cfb63c62bab926214f5effc2d30ded8128a8c3ca80b42d66ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2857f55ec3ade2c9d1bbbdd12fa9269262c271b3f5b9980a2b68580170392ebe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-09-16T15:23:51Z",
    "title_canon_sha256": "bce03e55935ab4e9ac1e1d719730bcea73832251e8038ea9e0918f8257abb804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.08047",
    "kind": "arxiv",
    "version": 1
  }
}