Pith Number

pith:54SWSH4E

pith:2016:54SWSH4EQSEYEUPCSXODWEVRT6

not attested not anchored not stored refs pending

Constructing Frequency Domains on Graphs in Near-Linear Time

John C. Urschel, Ludmil T. Zikatanov, Wenfang Xu

arxiv:1609.04115 v3 · 2016-09-14 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54SWSH4EQSEYEUPCSXODWEVRT6}

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	2026-05-18T00:19:14.235358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef25691f8484898251e295dc3b12b19f8fb79e540a68d2bb1d807dae4ded14e6

Aliases

arxiv: 1609.04115 · arxiv_version: 1609.04115v3 · doi: 10.48550/arxiv.1609.04115 · pith_short_12: 54SWSH4EQSEY · pith_short_16: 54SWSH4EQSEYEUPC · pith_short_8: 54SWSH4E

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/54SWSH4EQSEYEUPCSXODWEVRT6 \
  | 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: ef25691f8484898251e295dc3b12b19f8fb79e540a68d2bb1d807dae4ded14e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7bebe10c80ffcec57765937f3a4741d30d88f951eee883260d085e154b693c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-14T02:44:29Z",
    "title_canon_sha256": "36a1924adfd27166aad2089326b40fe5e623c83ca69e26831d12b0f0401f789c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04115",
    "kind": "arxiv",
    "version": 3
  }
}