Pith Number

pith:I64C6YZJ

pith:2018:I64C6YZJEEYFM4KVLS2VLQTONA

not attested not anchored not stored refs pending

Existence of differentiable curves in convex sets and the concept of direction of the flow in mass transportation

Rodolfo Rios-Zertuche

arxiv:1810.05999 v1 · 2018-10-14 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I64C6YZJEEYFM4KVLS2VLQTONA}

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	2026-05-18T00:03:21.730061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47b82f632921305671555cb555c26e683466cfb778e8259d607ba5767b465a18

Aliases

arxiv: 1810.05999 · arxiv_version: 1810.05999v1 · doi: 10.48550/arxiv.1810.05999 · pith_short_12: I64C6YZJEEYF · pith_short_16: I64C6YZJEEYFM4KV · pith_short_8: I64C6YZJ

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/I64C6YZJEEYFM4KVLS2VLQTONA \
  | 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: 47b82f632921305671555cb555c26e683466cfb778e8259d607ba5767b465a18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2241a46ce25b9e58e62bd6914dd64abeb7aa78f796147edba6c37e1c8a2beb09",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-14T08:50:13Z",
    "title_canon_sha256": "ec22c6284290af805651e135461bdc9a474d587e47629f82a0fe7b32e4bf13e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05999",
    "kind": "arxiv",
    "version": 1
  }
}