pith. sign in
Pith Number

pith:3MNTEDN4

pith:2012:3MNTEDN42L2BVZP42OY3ZZLBOP
not attested not anchored not stored refs pending

Planck's Other Quanta: Corpuscular Electrodiffusion

A.J. Bracken, L. Bass

arxiv:1201.1528 v1 · 2012-01-07 · math-ph · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3MNTEDN42L2BVZP42OY3ZZLBOP}

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 2026-05-18T01:26:39.913636Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

db1b320dbcd2f41ae5fcd3b1bce56173de62251bcf1a9e75da9c20e34980f188

Aliases

arxiv: 1201.1528 · arxiv_version: 1201.1528v1 · doi: 10.48550/arxiv.1201.1528 · pith_short_12: 3MNTEDN42L2B · pith_short_16: 3MNTEDN42L2BVZP4 · pith_short_8: 3MNTEDN4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3MNTEDN42L2BVZP42OY3ZZLBOP \
  | 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: db1b320dbcd2f41ae5fcd3b1bce56173de62251bcf1a9e75da9c20e34980f188
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "874d8d67f4b25087544da0508f0b1fca2ebe00ed48cdba60dc739c99e0020b31",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-07T03:07:56Z",
    "title_canon_sha256": "cd0e9620d7b758e64f2c8246edcd230e907280e77acc16316c9c7503fe02aa56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1528",
    "kind": "arxiv",
    "version": 1
  }
}