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Pith Number

pith:FJLVOAVB

pith:2016:FJLVOAVBOSG775B54CSF5KSZCP
not attested not anchored not stored refs pending

Distinct and repeated distances on a surface and incidences between points and spheres

Micha Sharir, Noam Solomon

arxiv:1604.01502 v1 · 2016-04-06 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FJLVOAVBOSG775B54CSF5KSZCP}

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 2026-05-18T01:17:36.256685Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2a575702a1748dfff43de0a45eaa5913ce7c4cc3b5f70b2c9d801aa13bd816f4

Aliases

arxiv: 1604.01502 · arxiv_version: 1604.01502v1 · doi: 10.48550/arxiv.1604.01502 · pith_short_12: FJLVOAVBOSG7 · pith_short_16: FJLVOAVBOSG775B5 · pith_short_8: FJLVOAVB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FJLVOAVBOSG775B54CSF5KSZCP \
  | 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: 2a575702a1748dfff43de0a45eaa5913ce7c4cc3b5f70b2c9d801aa13bd816f4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0883053fb1502248419dba87944f69a0624e7080abb64b70047a606f5fe0da71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-06T06:20:11Z",
    "title_canon_sha256": "1fa1457320418f9d1f74a53f48a9e8aba53213f88e193f7cf7b6d1ea3e2b827b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01502",
    "kind": "arxiv",
    "version": 1
  }
}