Pith Number

pith:PH25RFE4

pith:2016:PH25RFE4O6SD7AKAYALA6GW5O3

not attested not anchored not stored refs pending

On the continuity of the total cost in the mass transport problem with relativistic cost functions

Aldo Pratelli, Florian Zeisler, Jean Louet (CEREMADE, Mokaplan)

arxiv:1612.06229 v1 · 2016-12-19 · 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{PH25RFE4O6SD7AKAYALA6GW5O3}

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	2026-05-18T00:54:42.869375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f5d8949c77a43f8140c0160f1add76f1ae2a31401ff29f1ec96eab8bd65572

Aliases

arxiv: 1612.06229 · arxiv_version: 1612.06229v1 · doi: 10.48550/arxiv.1612.06229 · pith_short_12: PH25RFE4O6SD · pith_short_16: PH25RFE4O6SD7AKA · pith_short_8: PH25RFE4

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/PH25RFE4O6SD7AKAYALA6GW5O3 \
  | 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: 79f5d8949c77a43f8140c0160f1add76f1ae2a31401ff29f1ec96eab8bd65572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0263c61b8c5e18e342ecba4b15eb479af329e71d58e1de669dcba118e494f0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-19T15:41:46Z",
    "title_canon_sha256": "d4fe80056cdd983df69f8abd3e0a9c1e7376b39773a314beed9555c708093616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06229",
    "kind": "arxiv",
    "version": 1
  }
}