Pith Number

pith:THG5EX66

pith:2015:THG5EX66B74GLVBB3OEJ6SCFIX

not attested not anchored not stored refs pending

Non-archimedean transportation problems and Kantorovich ultra-norms

Menachem Shlossberg, Michael Megrelishvili

arxiv:1504.06301 v4 · 2015-04-23 · math.FA · math.GN · 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{THG5EX66B74GLVBB3OEJ6SCFIX}

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	2026-05-18T01:17:12.819682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99cdd25fde0ff865d421db889f484545f8ea0053051ce0733d1f88b5c1355201

Aliases

arxiv: 1504.06301 · arxiv_version: 1504.06301v4 · doi: 10.48550/arxiv.1504.06301 · pith_short_12: THG5EX66B74G · pith_short_16: THG5EX66B74GLVBB · pith_short_8: THG5EX66

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/THG5EX66B74GLVBB3OEJ6SCFIX \
  | 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: 99cdd25fde0ff865d421db889f484545f8ea0053051ce0733d1f88b5c1355201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70ffcf1437dae7a76e2651130d4183d6310a038a753933f2e82056109b81220f",
    "cross_cats_sorted": [
      "math.GN",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-23T19:17:50Z",
    "title_canon_sha256": "bec9ac422c7d0a459ed16a3ec239e902438ed69cb147f1b5c95ed1f39a7397b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06301",
    "kind": "arxiv",
    "version": 4
  }
}