Pith Number

pith:ARDMRFTS

pith:2013:ARDMRFTSFSNY4IIKGSSA5GI7ZB

not attested not anchored not stored refs pending

On the regularity of the free boundary in the optimal partial transport problem

Emanuel Indrei, Shibing Chen

arxiv:1303.2715 v2 · 2013-03-11 · math.AP · math.FA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARDMRFTSFSNY4IIKGSSA5GI7ZB}

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	2026-05-18T03:05:01.476001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0446c896722c9b8e210a34a40e991fc8533e52d7e2869a765e6bba42a2dea3e4

Aliases

arxiv: 1303.2715 · arxiv_version: 1303.2715v2 · doi: 10.48550/arxiv.1303.2715 · pith_short_12: ARDMRFTSFSNY · pith_short_16: ARDMRFTSFSNY4IIK · pith_short_8: ARDMRFTS

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/ARDMRFTSFSNY4IIKGSSA5GI7ZB \
  | 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: 0446c896722c9b8e210a34a40e991fc8533e52d7e2869a765e6bba42a2dea3e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8866a02f7c94537da8fa084d20859a3f84879d63b6b1ea19588858abe225cad0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-11T23:15:06Z",
    "title_canon_sha256": "46be21781f71f7dd769f787f8df7dc1f278a4ac02960092c3155fee9150fd104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2715",
    "kind": "arxiv",
    "version": 2
  }
}