Pith Number

pith:ASTZAK3G

pith:2016:ASTZAK3GRPEB2JDUJ2HSVJIGFB

not attested not anchored not stored refs pending

Barycenters in uniformly convex geodesic spaces

Adriana Nicolae, Alexandru Zaharescu, Laurentiu Leustean

arxiv:1609.02589 v1 · 2016-09-08 · 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{ASTZAK3GRPEB2JDUJ2HSVJIGFB}

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	2026-05-18T01:04:53.025630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a7902b668bc81d24744e8f2aa50628756d9f011671175eed1799c1b5c109af

Aliases

arxiv: 1609.02589 · arxiv_version: 1609.02589v1 · doi: 10.48550/arxiv.1609.02589 · pith_short_12: ASTZAK3GRPEB · pith_short_16: ASTZAK3GRPEB2JDU · pith_short_8: ASTZAK3G

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/ASTZAK3GRPEB2JDUJ2HSVJIGFB \
  | 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: 04a7902b668bc81d24744e8f2aa50628756d9f011671175eed1799c1b5c109af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b2bdb7077ce7957b10170aad4b72fe631a21e36623103b29c69d22fa124e44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-09-08T21:03:09Z",
    "title_canon_sha256": "66142b635e4aef50cbceac5e4957c9f9a50ae4d03bf4c75eb52cfc28bd6f3843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02589",
    "kind": "arxiv",
    "version": 1
  }
}