Pith Number

pith:2OBEB4ZZ

pith:2019:2OBEB4ZZZDS2M5GEVNUJDG7HEY

not attested not anchored not stored refs pending

Surprising variants of Cauchy's formula for mean chord length

Diana Thongjaomayum, Prabodh Shukla

arxiv:1908.06608 v2 · 2019-08-19 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OBEB4ZZZDS2M5GEVNUJDG7HEY}

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	2026-07-05T00:22:03.132710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d38240f339c8e5a674c4ab68919be7262da9e7acd033e5935a9167818ed33c38

Aliases

arxiv: 1908.06608 · arxiv_version: 1908.06608v2 · doi: 10.48550/arxiv.1908.06608 · pith_short_12: 2OBEB4ZZZDS2 · pith_short_16: 2OBEB4ZZZDS2M5GE · pith_short_8: 2OBEB4ZZ

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/2OBEB4ZZZDS2M5GEVNUJDG7HEY \
  | 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: d38240f339c8e5a674c4ab68919be7262da9e7acd033e5935a9167818ed33c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6da12fd6e91c8ffce193220b77223657041e810f433dbada9ee9f129ba2682",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-08-19T06:31:00Z",
    "title_canon_sha256": "2c14b0b3bd5fb4ee338df8e95ea5009fae10a40e8a553d202245cdd0791c45ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06608",
    "kind": "arxiv",
    "version": 2
  }
}