Pith Number

pith:FYZVQER4

pith:2015:FYZVQER4ICO3OKVICLZIJUHAGN

not attested not anchored not stored refs pending

On the number of touching pairs in a set of planar curves

B\'alint Hujter, P\'eter Gy\"orgyi, S\'andor Kisfaludi-Bak

arxiv:1511.05425 v2 · 2015-11-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYZVQER4ICO3OKVICLZIJUHAGN}

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	2026-05-18T00:42:13.406800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e3358123c409db72aa812f284d0e0335790aef725e89617c62ddfe353a234e3

Aliases

arxiv: 1511.05425 · arxiv_version: 1511.05425v2 · doi: 10.48550/arxiv.1511.05425 · pith_short_12: FYZVQER4ICO3 · pith_short_16: FYZVQER4ICO3OKVI · pith_short_8: FYZVQER4

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/FYZVQER4ICO3OKVICLZIJUHAGN \
  | 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: 2e3358123c409db72aa812f284d0e0335790aef725e89617c62ddfe353a234e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c89d605c82dffa6205bda2fe7d5dd09909d8f02c30eeb089df491f3bfc7a0b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-17T14:53:21Z",
    "title_canon_sha256": "08401902edaabf5142754eca66bcdbf49195065c54ce297eff75bbcb379c4395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05425",
    "kind": "arxiv",
    "version": 2
  }
}