Pith Number

pith:W63EJ7NI

pith:2017:W63EJ7NI7MIVZ6LIQ4E2RPVF76

not attested not anchored not stored refs pending

Quadratic Lagrange spectrum: I

Xianzu Lin

arxiv:1703.04847 v2 · 2017-03-15 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W63EJ7NI7MIVZ6LIQ4E2RPVF76}

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	2026-05-18T00:47:56.323045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b644fda8fb115cf9688709a8bea5ff83e11bbe9d7982fd74669954ff3a9510

Aliases

arxiv: 1703.04847 · arxiv_version: 1703.04847v2 · doi: 10.48550/arxiv.1703.04847 · pith_short_12: W63EJ7NI7MIV · pith_short_16: W63EJ7NI7MIVZ6LI · pith_short_8: W63EJ7NI

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/W63EJ7NI7MIVZ6LIQ4E2RPVF76 \
  | 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: b7b644fda8fb115cf9688709a8bea5ff83e11bbe9d7982fd74669954ff3a9510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a798714ca3a7dc66d70869564cab8e4bf3a96c262f61b2276028aa242cd3074",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-15T00:19:50Z",
    "title_canon_sha256": "e8ff81c4c9cde18e77c7128bc0b0302f96984cfd12f9b74ec8ef5bb4f61a5f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04847",
    "kind": "arxiv",
    "version": 2
  }
}