Pith Number

pith:ZG6VCM6N

pith:2016:ZG6VCM6NEVH7YO5WRFGUPSVD4T

not attested not anchored not stored refs pending

A unified framework for harmonic analysis of functions on directed graphs and changing data

Hrushikesh N. Mhaskar

arxiv:1604.06835 v2 · 2016-04-22 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZG6VCM6NEVH7YO5WRFGUPSVD4T}

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	2026-05-18T01:11:01.837729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9bd5133cd254ffc3bb6894d47caa3e4c1d5cf530195f939f44f1729f2fc70be

Aliases

arxiv: 1604.06835 · arxiv_version: 1604.06835v2 · doi: 10.48550/arxiv.1604.06835 · pith_short_12: ZG6VCM6NEVH7 · pith_short_16: ZG6VCM6NEVH7YO5W · pith_short_8: ZG6VCM6N

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/ZG6VCM6NEVH7YO5WRFGUPSVD4T \
  | 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: c9bd5133cd254ffc3bb6894d47caa3e4c1d5cf530195f939f44f1729f2fc70be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8683904e4cbec5b6bf974307cd44a28ea6e6e407e67d8b762fc30b884df4d68d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-22T23:35:19Z",
    "title_canon_sha256": "2e6fa458a0cb99f20f77ec5bb515e50db062bc8a2b4b77c44ea9b79ba0f710f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06835",
    "kind": "arxiv",
    "version": 2
  }
}