Pith Number

pith:27CZCLHU

pith:2013:27CZCLHUFLJGLEZKFTVIIKTM3D

not attested not anchored not stored refs pending

Regularity in Monge's mass transfer problem

Filippo Santambrogio (LM-Orsay), Qi-Rui Li, Xu-Jian Wang

arxiv:1305.0099 v1 · 2013-05-01 · 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{27CZCLHUFLJGLEZKFTVIIKTM3D}

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	2026-05-18T03:26:42.013633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7c5912cf42ad265932a2cea842a6cd8f76924278d9aa2717421f57aae856ae3

Aliases

arxiv: 1305.0099 · arxiv_version: 1305.0099v1 · doi: 10.48550/arxiv.1305.0099 · pith_short_12: 27CZCLHUFLJG · pith_short_16: 27CZCLHUFLJGLEZK · pith_short_8: 27CZCLHU

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/27CZCLHUFLJGLEZKFTVIIKTM3D \
  | 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: d7c5912cf42ad265932a2cea842a6cd8f76924278d9aa2717421f57aae856ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaad0cfa4332db6f3cc8ee6b747ea3519379e2408d55332f27a9f6d0ed0c4522",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-01T06:11:33Z",
    "title_canon_sha256": "bb34cc543cdb62c5271998dac8a4a93285865a3fce82d8c7c5c8227e0a97098b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0099",
    "kind": "arxiv",
    "version": 1
  }
}