Pith Number

pith:HJXMDHVK

pith:2015:HJXMDHVKSUADIZJML3BOQOW6B7

not attested not anchored not stored refs pending

Discrete analytic functions on non-uniform lattices without global geometric control

Brent M. Werness

arxiv:1511.01209 v1 · 2015-11-04 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJXMDHVKSUADIZJML3BOQOW6B7}

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	2026-05-18T01:27:47.832226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a6ec19eaa950034652c5ec2e83ade0ff9efb8e495a5d212fd65d521cac621c8

Aliases

arxiv: 1511.01209 · arxiv_version: 1511.01209v1 · doi: 10.48550/arxiv.1511.01209 · pith_short_12: HJXMDHVKSUAD · pith_short_16: HJXMDHVKSUADIZJM · pith_short_8: HJXMDHVK

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/HJXMDHVKSUADIZJML3BOQOW6B7 \
  | 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: 3a6ec19eaa950034652c5ec2e83ade0ff9efb8e495a5d212fd65d521cac621c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fced1a3590d3aba5565a64b24061c4b3c492f5c11744ad97ff97cc4adfc4247d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-04T05:29:31Z",
    "title_canon_sha256": "a833468dab7cf0f46fce6d81c438e08f298717a303469383b70994fba94caa67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01209",
    "kind": "arxiv",
    "version": 1
  }
}