Pith Number

pith:PN2PGUNG

pith:2025:PN2PGUNGURTNSUBZTU2A2HPY5M

not attested not anchored not stored refs pending

Improving Rectified Flow with Boundary Conditions

Bo Liu, Eugene Ie, Hongliang Fei, Keyang Xu, Qiang Liu, Runlong Liao, Xixi Hu, Yeqing Li

arxiv:2506.15864 v2 · 2025-06-18 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PN2PGUNGURTNSUBZTU2A2HPY5M}

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	2026-06-30T01:18:17.587284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b74f351a6a466d950399d340d1df8eb1af78b9a9830b78483df7526b013d06d

Aliases

arxiv: 2506.15864 · arxiv_version: 2506.15864v2 · doi: 10.48550/arxiv.2506.15864 · pith_short_12: PN2PGUNGURTN · pith_short_16: PN2PGUNGURTNSUBZ · pith_short_8: PN2PGUNG

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/PN2PGUNGURTNSUBZTU2A2HPY5M \
  | 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: 7b74f351a6a466d950399d340d1df8eb1af78b9a9830b78483df7526b013d06d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e89c75ee14222d7e6eae912fef91023a7b65ee44e4f437a02b9537e61cfd31",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-18T20:22:48Z",
    "title_canon_sha256": "3276f07d5540c8257c94edf15865b08334ff7728c774d66ca9d1b7124a37eaed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15864",
    "kind": "arxiv",
    "version": 2
  }
}