Pith Number

pith:4R3NPTWD

pith:2012:4R3NPTWDP6O3IERDPO4RGRKX2A

not attested not anchored not stored refs pending

Fractional Eigenvalues

Erik Lindgren, Peter Lindqvist

arxiv:1203.4130 v2 · 2012-03-19 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4R3NPTWDP6O3IERDPO4RGRKX2A}

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	2026-05-18T03:57:24.313844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e476d7cec37f9db412237bb9134557d03b0f85d21b51ac1a1371c646690b3d9c

Aliases

arxiv: 1203.4130 · arxiv_version: 1203.4130v2 · doi: 10.48550/arxiv.1203.4130 · pith_short_12: 4R3NPTWDP6O3 · pith_short_16: 4R3NPTWDP6O3IERD · pith_short_8: 4R3NPTWD

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/4R3NPTWDP6O3IERDPO4RGRKX2A \
  | 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: e476d7cec37f9db412237bb9134557d03b0f85d21b51ac1a1371c646690b3d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc59787bd9ea2314864012464a8fc286950c2f38ce53f633f70ca3cad4ed84b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-19T15:18:10Z",
    "title_canon_sha256": "a4591f06f6f700fe8167ceeb6a1855006f7940f6e3726668b1ac7dcde9bcd3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4130",
    "kind": "arxiv",
    "version": 2
  }
}