Pith Number

pith:F4JSTV5L

pith:2010:F4JSTV5LW2ZCEKOF5YTWRJEJLB

not attested not anchored not stored refs pending

A parabolic flow toward solutions of the optimal transportation problem on domains with boundary

Jun Kitagawa

arxiv:1007.4526 v3 · 2010-07-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4JSTV5LW2ZCEKOF5YTWRJEJLB}

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	2026-05-18T04:33:26.961633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1329d7abb6b22229c5ee2768a489584a064fa9ab4272b0131451e7da8eb310

Aliases

arxiv: 1007.4526 · arxiv_version: 1007.4526v3 · doi: 10.48550/arxiv.1007.4526 · pith_short_12: F4JSTV5LW2ZC · pith_short_16: F4JSTV5LW2ZCEKOF · pith_short_8: F4JSTV5L

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/F4JSTV5LW2ZCEKOF5YTWRJEJLB \
  | 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: 2f1329d7abb6b22229c5ee2768a489584a064fa9ab4272b0131451e7da8eb310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed076b1996cd592d45bd4af12bacea98dc5dc32a72551052121c6783671a125b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-26T18:07:06Z",
    "title_canon_sha256": "cbcfdc81e28e2d6e06bcb705e7b99c1a74eb741100253471f025485a8a1af4d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4526",
    "kind": "arxiv",
    "version": 3
  }
}