Pith Number

pith:MFOLBEGL

pith:2019:MFOLBEGLZXAXHYPXQKTEWKKGWZ

not attested not anchored not stored refs pending

Diffusion equations from master equations -- A discrete geometric approach --

Hideitsu Hino, Shin-itiro Goto

arxiv:1908.04535 v4 · 2019-08-13 · 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{MFOLBEGLZXAXHYPXQKTEWKKGWZ}

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	2026-07-05T01:49:13.879298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

615cb090cbcdc173e1f782a64b2946b653a941982264ccb0216373a68742a260

Aliases

arxiv: 1908.04535 · arxiv_version: 1908.04535v4 · doi: 10.48550/arxiv.1908.04535 · pith_short_12: MFOLBEGLZXAX · pith_short_16: MFOLBEGLZXAXHYPX · pith_short_8: MFOLBEGL

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/MFOLBEGLZXAXHYPXQKTEWKKGWZ \
  | 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: 615cb090cbcdc173e1f782a64b2946b653a941982264ccb0216373a68742a260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d663e6ab2e77aea1d475b02029145a44c4fb84684dacc4dc6037b8eaeb70412b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-13T08:40:40Z",
    "title_canon_sha256": "345d22ba0b455c352ae4c1a30cfcd86c3b42f1185343e3fcfe2df9f6f81d7ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04535",
    "kind": "arxiv",
    "version": 4
  }
}