Pith Number

pith:SMX3NFZM

pith:2013:SMX3NFZMAAZXVVV7G7D5GS2QMS

not attested not anchored not stored refs pending

Bounds of incidences between points and algebraic curves

Ben Yang, Hong Wang, Ruixiang Zhang

arxiv:1308.0861 v3 · 2013-08-05 · 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{SMX3NFZMAAZXVVV7G7D5GS2QMS}

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	2026-05-18T02:20:10.821700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

932fb6972c00337ad6bf37c7d34b5064a0e6d7a4528da0887be2b2b7f72d428b

Aliases

arxiv: 1308.0861 · arxiv_version: 1308.0861v3 · doi: 10.48550/arxiv.1308.0861 · pith_short_12: SMX3NFZMAAZX · pith_short_16: SMX3NFZMAAZXVVV7 · pith_short_8: SMX3NFZM

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/SMX3NFZMAAZXVVV7G7D5GS2QMS \
  | 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: 932fb6972c00337ad6bf37c7d34b5064a0e6d7a4528da0887be2b2b7f72d428b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2c70b20b094cfaefed6f9107c854fdc5dfb703b006214dd505d7802541a9d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-05T00:17:39Z",
    "title_canon_sha256": "1c8e70bd82cd6acecb773bf8cb0f254fad839980b74e3ffac715cfb5383a2e3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0861",
    "kind": "arxiv",
    "version": 3
  }
}