Pith Number

pith:ZAHXGOWA

pith:2015:ZAHXGOWAWTJRK6Z2RFO63OL5R6

not attested not anchored not stored refs pending

Spectra of infinite graphs via Schur complement

L. Golinskii

arxiv:1504.04452 v1 · 2015-04-17 · 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{ZAHXGOWAWTJRK6Z2RFO63OL5R6}

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	2026-05-18T02:18:32.353354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c80f733ac0b4d3157b3a895dedb97d8f83ceef8152cd3448a09cf292fcfe6629

Aliases

arxiv: 1504.04452 · arxiv_version: 1504.04452v1 · doi: 10.48550/arxiv.1504.04452 · pith_short_12: ZAHXGOWAWTJR · pith_short_16: ZAHXGOWAWTJRK6Z2 · pith_short_8: ZAHXGOWA

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/ZAHXGOWAWTJRK6Z2RFO63OL5R6 \
  | 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: c80f733ac0b4d3157b3a895dedb97d8f83ceef8152cd3448a09cf292fcfe6629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5592c7755f87f61b2d677e17b57bcf388a38b22c030f037de30acdf1ad14fded",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-17T06:43:51Z",
    "title_canon_sha256": "7f04d0a0dd64655b87aa2f82a8a4f98005238ff94fa9a8d0904cfa586f05c1a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04452",
    "kind": "arxiv",
    "version": 1
  }
}