Pith Number

pith:53B7XK7E

pith:2011:53B7XK7EOZAIO7J6DGFQ2GGEFZ

not attested not anchored not stored refs pending

Diffusion for a quantum particle coupled to phonons in $d\geq 3$

A. Kupiainen, W. De Roeck

arxiv:1107.4832 v2 · 2011-07-25 · math-ph · 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{53B7XK7EOZAIO7J6DGFQ2GGEFZ}

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	2026-05-18T03:27:33.129737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec3fbabe47640877d3e198b0d18c42e51a3a5e6402de0001d5316acd2518518

Aliases

arxiv: 1107.4832 · arxiv_version: 1107.4832v2 · doi: 10.48550/arxiv.1107.4832 · pith_short_12: 53B7XK7EOZAI · pith_short_16: 53B7XK7EOZAIO7J6 · pith_short_8: 53B7XK7E

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/53B7XK7EOZAIO7J6DGFQ2GGEFZ \
  | 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: eec3fbabe47640877d3e198b0d18c42e51a3a5e6402de0001d5316acd2518518

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "648be70027755a3f6b4acfcc238f6f3a769881f2442de5047df7dbc8ab9987ba",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-25T03:40:51Z",
    "title_canon_sha256": "4c108198f6be36fbdd10cb83e2b5cf5afc9de7d22976087626ff04a4fb4a2f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4832",
    "kind": "arxiv",
    "version": 2
  }
}