Pith Number

pith:QCCT5472

pith:2024:QCCT5472ZU6YFWH3T7TUFBL45L

not attested not anchored not stored refs pending

Schrodinger Bridge over Averaged Systems

Daniel Owusu Adu, Yongxin Chen

arxiv:2412.03294 v1 · 2024-12-04 · 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{QCCT5472ZU6YFWH3T7TUFBL45L}

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	2026-07-05T09:44:27.527541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80853ef3facd3d82d8fb9fe742857ceacc03c3a411624b312d143da553b984fe

Aliases

arxiv: 2412.03294 · arxiv_version: 2412.03294v1 · doi: 10.48550/arxiv.2412.03294 · pith_short_12: QCCT5472ZU6Y · pith_short_16: QCCT5472ZU6YFWH3 · pith_short_8: QCCT5472

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/QCCT5472ZU6YFWH3T7TUFBL45L \
  | 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: 80853ef3facd3d82d8fb9fe742857ceacc03c3a411624b312d143da553b984fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55712cfd4ccbedba01bf421fbf8acc09520b2335c13144db311280fa8121f187",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-04T13:13:02Z",
    "title_canon_sha256": "90e4f647e1ce758d81817fcb6249994e464763a01b676c4098ed876cf031e4ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03294",
    "kind": "arxiv",
    "version": 1
  }
}