Pith Number

pith:H5ZARMVQ

pith:2016:H5ZARMVQZRLHNGZ3WXG3LK3KAB

not attested not anchored not stored refs pending

Representation of functions on big data associated with directed graphs

Charles K.Chui, H. N. Mhaskar, Xiaosheng Zhuang

arxiv:1607.04375 v2 · 2016-07-15 · 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{H5ZARMVQZRLHNGZ3WXG3LK3KAB}

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	2026-05-18T00:59:24.353969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f7208b2b0cc56769b3bb5cdb5ab6a0046aa5f8b5b5a077ae43e354b3cba813f

Aliases

arxiv: 1607.04375 · arxiv_version: 1607.04375v2 · doi: 10.48550/arxiv.1607.04375 · pith_short_12: H5ZARMVQZRLH · pith_short_16: H5ZARMVQZRLHNGZ3 · pith_short_8: H5ZARMVQ

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/H5ZARMVQZRLHNGZ3WXG3LK3KAB \
  | 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: 3f7208b2b0cc56769b3bb5cdb5ab6a0046aa5f8b5b5a077ae43e354b3cba813f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f842f0d21a0a867dc332061f208c0b2157eae8eb2d8b29aa4ebbd6ba3cd5ce2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-15T04:07:04Z",
    "title_canon_sha256": "bfc968cd09b2c6c1403a2276801baad6cbeff28d2072dedb33089547acc49134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04375",
    "kind": "arxiv",
    "version": 2
  }
}