Pith Number

pith:YH542MSK

pith:2017:YH542MSKFY4W4KDFS2PDR4QZ5B

not attested not anchored not stored refs pending

Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures

Alexander Mielke, Vaios Laschos

arxiv:1712.01888 v2 · 2017-12-05 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YH542MSKFY4W4KDFS2PDR4QZ5B}

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	2026-05-18T00:15:41.933747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1fbcd324a2e396e2865969e38f219e84b0857f1efbfe98a2d3722bf8c0ea0b3

Aliases

arxiv: 1712.01888 · arxiv_version: 1712.01888v2 · doi: 10.48550/arxiv.1712.01888 · pith_short_12: YH542MSKFY4W · pith_short_16: YH542MSKFY4W4KDF · pith_short_8: YH542MSK

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/YH542MSKFY4W4KDFS2PDR4QZ5B \
  | 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: c1fbcd324a2e396e2865969e38f219e84b0857f1efbfe98a2d3722bf8c0ea0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "594285e0269fe19794105382c6e63c3a586dfe63ab231ed04d5540aaa5e428f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-12-05T19:49:29Z",
    "title_canon_sha256": "b93aa5efebd381fa83eb4be21596dbb009548512afbfc6f9cb8c84fdf966cd3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01888",
    "kind": "arxiv",
    "version": 2
  }
}