Pith Number

pith:FBHCKTFY

pith:2018:FBHCKTFYXLPMA7HH27RQ3KXKSM

not attested not anchored not stored refs pending

Decreasing equisingular approximations with analytic singularities

Qi'an Guan

arxiv:1807.02828 v1 · 2018-07-08 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBHCKTFYXLPMA7HH27RQ3KXKSM}

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	2026-05-18T00:11:13.567613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

284e254cb8badec07ce7d7e30daaea9307c3519591707467bf623631bff21b46

Aliases

arxiv: 1807.02828 · arxiv_version: 1807.02828v1 · doi: 10.48550/arxiv.1807.02828 · pith_short_12: FBHCKTFYXLPM · pith_short_16: FBHCKTFYXLPMA7HH · pith_short_8: FBHCKTFY

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/FBHCKTFYXLPMA7HH27RQ3KXKSM \
  | 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: 284e254cb8badec07ce7d7e30daaea9307c3519591707467bf623631bff21b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db4f84fe0ff331ecc4d054ba3f5091d4b2b8804cf7774c5e2ac62c071af54f23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-07-08T14:21:28Z",
    "title_canon_sha256": "c0a20df08b3b27f272c3b54c5c3e6a36768f21674b8550beba27cb99b758bb03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02828",
    "kind": "arxiv",
    "version": 1
  }
}