Pith Number

pith:6UPIYVUF

pith:2025:6UPIYVUFSP2GFIW5MUPYNRXFDR

not attested not anchored not stored refs pending

A system of Schr\"odinger's problems and functional equations

Jin Feng, Toshio Mikami

arxiv:2501.00719 v2 · 2025-01-01 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UPIYVUFSP2GFIW5MUPYNRXFDR}

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	2026-07-05T11:21:39.976157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f51e8c568593f462a2dd651f86c6e51c481a90127b1920af95dca1d00f452d10

Aliases

arxiv: 2501.00719 · arxiv_version: 2501.00719v2 · doi: 10.48550/arxiv.2501.00719 · pith_short_12: 6UPIYVUFSP2G · pith_short_16: 6UPIYVUFSP2GFIW5 · pith_short_8: 6UPIYVUF

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/6UPIYVUFSP2GFIW5MUPYNRXFDR \
  | 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: f51e8c568593f462a2dd651f86c6e51c481a90127b1920af95dca1d00f452d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80077e56d0469314751c64421fb71188f5be89b3928c91baefc559a70d2dcfa6",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-01T04:24:07Z",
    "title_canon_sha256": "51c756c367e77ca3f1644571e7637cf7b766515bf40e6ac77b8124b7284ac40c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00719",
    "kind": "arxiv",
    "version": 2
  }
}