Pith Number

pith:IZ4QROE6

pith:2016:IZ4QROE65MQVLPRXVDLK7YLQPD

not attested not anchored not stored refs pending

Systems of Dilated Functions: completeness, minimality, basisness

Boris Mityagin

arxiv:1612.06791 v1 · 2016-12-20 · 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{IZ4QROE65MQVLPRXVDLK7YLQPD}

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	2026-05-18T00:54:21.486132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467908b89eeb2155be37a8d6afe17078e3e67dec5fa6a376fd509acd275bf19c

Aliases

arxiv: 1612.06791 · arxiv_version: 1612.06791v1 · doi: 10.48550/arxiv.1612.06791 · pith_short_12: IZ4QROE65MQV · pith_short_16: IZ4QROE65MQVLPRX · pith_short_8: IZ4QROE6

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/IZ4QROE65MQVLPRXVDLK7YLQPD \
  | 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: 467908b89eeb2155be37a8d6afe17078e3e67dec5fa6a376fd509acd275bf19c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33852f85727b07a14d6dbd32bc1091f311b4975ea6b689686a0311dd07f01d79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-20T18:20:26Z",
    "title_canon_sha256": "c03c49e8dda411a2231977871275e20016904a3173fb5537e525d00fde4e07f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06791",
    "kind": "arxiv",
    "version": 1
  }
}