Pith Number

pith:AWZAVKEC

pith:2016:AWZAVKECR2DPXAAGEKX2LRWGP5

not attested not anchored not stored refs pending

Ball Intersection Properties in Metric Spaces

Benjamin Miesch, Ma\"el Pav\'on

arxiv:1610.03307 v1 · 2016-10-11 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWZAVKECR2DPXAAGEKX2LRWGP5}

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	2026-05-18T01:02:31.826320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b20aa8828e86fb800622afa5c6c67f687aefc7a03699ef8a07eceebbad04df

Aliases

arxiv: 1610.03307 · arxiv_version: 1610.03307v1 · doi: 10.48550/arxiv.1610.03307 · pith_short_12: AWZAVKECR2DP · pith_short_16: AWZAVKECR2DPXAAG · pith_short_8: AWZAVKEC

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/AWZAVKECR2DPXAAGEKX2LRWGP5 \
  | 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: 05b20aa8828e86fb800622afa5c6c67f687aefc7a03699ef8a07eceebbad04df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbfb5d8a47b05d6a38a174487990a034ffc2eb99d09508ec4eef305467f62e32",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-10-11T12:36:01Z",
    "title_canon_sha256": "526fc6b38c3e6d7f39b17accf344625ffd6cd19f5f35094aac3f823871d1e349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03307",
    "kind": "arxiv",
    "version": 1
  }
}