Pith Number

pith:SXAEFLIT

pith:2015:SXAEFLITWWXRACSSNFRUZPFWQ6

not attested not anchored not stored refs pending

A sharp bound on the number of real intersection points of a sparse plane curve with a line

Boulos El Hilany, Fr\'ed\'eric Bihan

arxiv:1506.03309 v1 · 2015-06-10 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXAEFLITWWXRACSSNFRUZPFWQ6}

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	2026-05-18T01:55:25.063463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95c042ad13b5af100a5269634cbcb68791f5d24968ffa9da8b2afc3a1a5af997

Aliases

arxiv: 1506.03309 · arxiv_version: 1506.03309v1 · doi: 10.48550/arxiv.1506.03309 · pith_short_12: SXAEFLITWWXR · pith_short_16: SXAEFLITWWXRACSS · pith_short_8: SXAEFLIT

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/SXAEFLITWWXRACSSNFRUZPFWQ6 \
  | 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: 95c042ad13b5af100a5269634cbcb68791f5d24968ffa9da8b2afc3a1a5af997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "188937e41871c50cf239a4fefde8344805565f9f4f52cbba99fbae80514e1d79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-10T13:56:21Z",
    "title_canon_sha256": "f7ab0536b93fcadc7603185995fb883f272dfe1f5d2c0f4b34c45c53c3e54847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03309",
    "kind": "arxiv",
    "version": 1
  }
}