Pith Number

pith:3VEHVRWG

pith:2015:3VEHVRWGOSYT6BSDKM5ELF5VH3

not attested not anchored not stored refs pending

Spectra of infinite graphs with tails

Leonid Golinskii

arxiv:1503.04952 v1 · 2015-03-17 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VEHVRWGOSYT6BSDKM5ELF5VH3}

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	2026-05-18T02:22:20.985440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd487ac6c674b13f0643533a4597b53eda7f34f3fcf6ea1f95c2ec765282ac7c

Aliases

arxiv: 1503.04952 · arxiv_version: 1503.04952v1 · doi: 10.48550/arxiv.1503.04952 · pith_short_12: 3VEHVRWGOSYT · pith_short_16: 3VEHVRWGOSYT6BSD · pith_short_8: 3VEHVRWG

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/3VEHVRWGOSYT6BSDKM5ELF5VH3 \
  | 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: dd487ac6c674b13f0643533a4597b53eda7f34f3fcf6ea1f95c2ec765282ac7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0142dcdaa1b35f7540d7c396d6bc0033183fdb611991f2910fdac63c91d940b1",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-17T08:50:20Z",
    "title_canon_sha256": "d05c601bed68b10cc6efe00a8f063683198edd52d3d84a5a3b757f2905e771c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04952",
    "kind": "arxiv",
    "version": 1
  }
}