Pith Number

pith:XMQ7UURG

pith:2019:XMQ7UURGTEP2TAEIDC4FERD5XV

not attested not anchored not stored refs pending

Hopf-Cole transformation via generalized Schr\"odinger bridge problem

Flavien L\'eger, Wuchen Li

arxiv:1901.09051 v1 · 2019-01-25 · math.DS · math.AP · 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{XMQ7UURGTEP2TAEIDC4FERD5XV}

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	2026-05-17T23:55:30.643864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb21fa5226991fa9808818b852447dbd4b6b1f1c94e201dc6b625151c66589a5

Aliases

arxiv: 1901.09051 · arxiv_version: 1901.09051v1 · doi: 10.48550/arxiv.1901.09051 · pith_short_12: XMQ7UURGTEP2 · pith_short_16: XMQ7UURGTEP2TAEI · pith_short_8: XMQ7UURG

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/XMQ7UURGTEP2TAEIDC4FERD5XV \
  | 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: bb21fa5226991fa9808818b852447dbd4b6b1f1c94e201dc6b625151c66589a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7f3e8f63070ca1c6403720794a5f48716a42a3a7066a16606eaf9e241f04991",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-25T19:08:50Z",
    "title_canon_sha256": "d83d0232ae389b24defd9619d8a7073a4fa1ebeb1f02b2ca57e18d13f3ae38d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09051",
    "kind": "arxiv",
    "version": 1
  }
}