Pith Number

pith:3QYPHZM4

pith:2012:3QYPHZM44AOI6CMZ7KW6AGB266

not attested not anchored not stored refs pending

On the distribution of perturbations of propagated Schr\"odinger eigenfunctions

Dmitry Jakobson, John Toth, Yaiza Canzani

arxiv:1210.4499 v2 · 2012-10-16 · math.SP · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QYPHZM44AOI6CMZ7KW6AGB266}

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	2026-05-18T03:20:48.529624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc30f3e59ce01c8f0999faade0183af78ea1fac5de6bcba9d8a9cbab29115aee

Aliases

arxiv: 1210.4499 · arxiv_version: 1210.4499v2 · doi: 10.48550/arxiv.1210.4499 · pith_short_12: 3QYPHZM44AOI · pith_short_16: 3QYPHZM44AOI6CMZ · pith_short_8: 3QYPHZM4

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/3QYPHZM44AOI6CMZ7KW6AGB266 \
  | 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: dc30f3e59ce01c8f0999faade0183af78ea1fac5de6bcba9d8a9cbab29115aee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff56fcb776460a1d4dab8df34586d2395a2fc205a3c593ab59915b7a1f7ed6f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-10-16T17:15:17Z",
    "title_canon_sha256": "463b5386046622657500f5b9dbe99b9566d089f8b1f6c49a9128a4113e8e7668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4499",
    "kind": "arxiv",
    "version": 2
  }
}