Pith Number

pith:DLIS2WAV

pith:2006:DLIS2WAV4NZ2LMLF3S5PM6NVXN

not attested not anchored not stored refs pending

Mirror couplings and Neumann eigenfunctions

Krzysztof Burdzy, Rami Atar

arxiv:math/0607400 v1 · 2006-07-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DLIS2WAV4NZ2LMLF3S5PM6NVXN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:05:22.626503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ad12d5815e373a5b165dcbaf679b5bb5b2cf98a85490872bd685509cc84f0f6

Aliases

arxiv: math/0607400 · arxiv_version: math/0607400v1 · doi: 10.48550/arxiv.math/0607400 · pith_short_12: DLIS2WAV4NZ2 · pith_short_16: DLIS2WAV4NZ2LMLF · pith_short_8: DLIS2WAV

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/DLIS2WAV4NZ2LMLF3S5PM6NVXN \
  | 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: 1ad12d5815e373a5b165dcbaf679b5bb5b2cf98a85490872bd685509cc84f0f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f9f99ed80e2f18143b3b0dfefeb81396bede4267e1a564de50b0ff8b5a970fd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-07-18T01:17:47Z",
    "title_canon_sha256": "e0c767b44d56a040cab14784d5575ed9d519327864b855f7cade4694c55c9891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607400",
    "kind": "arxiv",
    "version": 1
  }
}