Pith Number

pith:EPZBUHNT

pith:2021:EPZBUHNTOVJWTC3Y5Q2ZQHGFRF

not attested not anchored not stored refs pending

Multilayer heat equations and their solutions via oscillating integral transforms

Alexander Lipton, Andrey Itkin, Dmitry Muravey

arxiv:2112.00949 v2 · 2021-12-02 · q-fin.PR · physics.chem-ph · q-fin.CP · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPZBUHNTOVJWTC3Y5Q2ZQHGFRF}

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	2026-07-05T04:33:26.997621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23f21a1db37553698b78ec35981cc58978a4550c9091b3bcaa70948b35236cbe

Aliases

arxiv: 2112.00949 · arxiv_version: 2112.00949v2 · doi: 10.48550/arxiv.2112.00949 · pith_short_12: EPZBUHNTOVJW · pith_short_16: EPZBUHNTOVJWTC3Y · pith_short_8: EPZBUHNT

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/EPZBUHNTOVJWTC3Y5Q2ZQHGFRF \
  | 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: 23f21a1db37553698b78ec35981cc58978a4550c9091b3bcaa70948b35236cbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9d8f2a3174957b649f8685e5a1bb1571d90c80c31032089fb00c84aad218a4",
    "cross_cats_sorted": [
      "physics.chem-ph",
      "q-fin.CP",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2021-12-02T03:05:33Z",
    "title_canon_sha256": "6a319d75cba71e55be7ea606909d76c915287088a66ddcf8f027aa298fa9537a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00949",
    "kind": "arxiv",
    "version": 2
  }
}