Pith Number

pith:323FSBPM

pith:2017:323FSBPMKEWIXLQBWOUESR6AYM

not attested not anchored not stored refs pending

The Logarithm Map, its Limits and Frechet Means in Orthant Spaces

Dennis Barden, Huiling Le

arxiv:1703.07081 v2 · 2017-03-21 · 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{323FSBPMKEWIXLQBWOUESR6AYM}

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	2026-05-18T00:12:19.753953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb65905ec512c8bae01b3a84947c0c32fee665b9a0fa8e3aabe98c9fabf7e12

Aliases

arxiv: 1703.07081 · arxiv_version: 1703.07081v2 · doi: 10.48550/arxiv.1703.07081 · pith_short_12: 323FSBPMKEWI · pith_short_16: 323FSBPMKEWIXLQB · pith_short_8: 323FSBPM

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/323FSBPMKEWIXLQBWOUESR6AYM \
  | 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: deb65905ec512c8bae01b3a84947c0c32fee665b9a0fa8e3aabe98c9fabf7e12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "365bacb40ebcfc42811a630562ea3f12f558fd92a1c4b7bd9f2b9705b2522105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-21T07:51:17Z",
    "title_canon_sha256": "24c01d12d386a65aed3383f55236db90532c8d5a38d1a8e1aad95a921ac672be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07081",
    "kind": "arxiv",
    "version": 2
  }
}