Pith Number

pith:USF7BW6J

pith:2019:USF7BW6J3LJTBGDP36GCZ4MJVQ

not attested not anchored not stored refs pending

Metric completion of $Diff([0,1])$ with the $H1$ right-invariant metric

Andrea Natale (MOKAPLAN), Fran\c{c}ois-Xavier Vialard (LIGM), Rabah Tahraoui (CEREMADE), Simone Di Marino

arxiv:1906.09139 v1 · 2019-06-21 · math.OC · 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{USF7BW6J3LJTBGDP36GCZ4MJVQ}

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	2026-05-17T23:42:44.378551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a48bf0dbc9dad330986fdf8c2cf189ac2b61b1b5a88d6856c649ddbab0648075

Aliases

arxiv: 1906.09139 · arxiv_version: 1906.09139v1 · doi: 10.48550/arxiv.1906.09139 · pith_short_12: USF7BW6J3LJT · pith_short_16: USF7BW6J3LJTBGDP · pith_short_8: USF7BW6J

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/USF7BW6J3LJTBGDP36GCZ4MJVQ \
  | 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: a48bf0dbc9dad330986fdf8c2cf189ac2b61b1b5a88d6856c649ddbab0648075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f6f22b6180c18b73c3ab6608e1d1a1c8470a509669f4d85aaddc8fa92049f5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-21T13:42:11Z",
    "title_canon_sha256": "2daa5c5ee1aa962b6afdf31091af2883eb7bdd5c1e339bdcdbef2eb2652e47f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09139",
    "kind": "arxiv",
    "version": 1
  }
}