Pith Number

pith:VLBMJWL7

pith:2019:VLBMJWL7ORLM4XFPQEMPVC242D

not attested not anchored not stored refs pending

Singularities of Base Polynomials and Gau-Wu Numbers

Ilya M. Spitkovsky, Kristin A. Camenga, Louis Deaett, Patrick X. Rault, Rebekah B. Johnson Yates, Tsvetanka Sendova

arxiv:1903.05183 v2 · 2019-03-12 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLBMJWL7ORLM4XFPQEMPVC242D}

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	2026-05-17T23:41:09.432263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac2c4d97f7456ce5caf8118fa8b5cd0dc8d8b0520a1d7989d68529132e4a05b

Aliases

arxiv: 1903.05183 · arxiv_version: 1903.05183v2 · doi: 10.48550/arxiv.1903.05183 · pith_short_12: VLBMJWL7ORLM · pith_short_16: VLBMJWL7ORLM4XFP · pith_short_8: VLBMJWL7

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/VLBMJWL7ORLM4XFPQEMPVC242D \
  | 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: aac2c4d97f7456ce5caf8118fa8b5cd0dc8d8b0520a1d7989d68529132e4a05b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee587549b67e28ad9ef3d2f15e3df3fa63cf6f9eea32d2dbea5acfe5a879e72b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-12T20:07:35Z",
    "title_canon_sha256": "fd77742cb1e9514810f0c80f2bd2d633ddffc26de01674c3823760f768c06f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05183",
    "kind": "arxiv",
    "version": 2
  }
}