Pith Number

pith:YKQDWTDO

pith:2012:YKQDWTDO5ADBIW64QZFGVBXDKU

not attested not anchored not stored refs pending

Multiple scattering in random mechanical systems and diffusion approximation

Hong-Kun Zhang, Jasmine Ng, Renato Feres

arxiv:1208.3776 v1 · 2012-08-18 · 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{YKQDWTDO5ADBIW64QZFGVBXDKU}

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	2026-05-18T01:55:09.489179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2a03b4c6ee806145bdc864a6a86e35523eccbb8d0561a7e6c41f580cec5ef88

Aliases

arxiv: 1208.3776 · arxiv_version: 1208.3776v1 · doi: 10.48550/arxiv.1208.3776 · pith_short_12: YKQDWTDO5ADB · pith_short_16: YKQDWTDO5ADBIW64 · pith_short_8: YKQDWTDO

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/YKQDWTDO5ADBIW64QZFGVBXDKU \
  | 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: c2a03b4c6ee806145bdc864a6a86e35523eccbb8d0561a7e6c41f580cec5ef88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041cc2f972f4b8bd4c7a38572ac8b8c5590fe3a1e26cad703599fe0b8c7efb87",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-18T18:49:47Z",
    "title_canon_sha256": "2353445b50ac2af5e5a6e4bd024c3ac484286866b7b059767fd67cf4bf34897d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3776",
    "kind": "arxiv",
    "version": 1
  }
}