Pith Number

pith:AZY6M5JW

pith:2012:AZY6M5JWCEVQZUE3Z7RIBEGEL5

not attested not anchored not stored refs pending

Harmonic functions on the Sierpinski triangle

Ilia Smilga

arxiv:1205.4442 v1 · 2012-05-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZY6M5JWCEVQZUE3Z7RIBEGEL5}

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	2026-05-18T03:55:13.215497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0671e67536112b0cd09bcfe28090c45f67ed269e650e15b130bbc39a883af6b8

Aliases

arxiv: 1205.4442 · arxiv_version: 1205.4442v1 · doi: 10.48550/arxiv.1205.4442 · pith_short_12: AZY6M5JWCEVQ · pith_short_16: AZY6M5JWCEVQZUE3 · pith_short_8: AZY6M5JW

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/AZY6M5JWCEVQZUE3Z7RIBEGEL5 \
  | 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: 0671e67536112b0cd09bcfe28090c45f67ed269e650e15b130bbc39a883af6b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ddf92dc491166269a3afc3994b993e87ab05554be3dc032b89e0380f99ed20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-20T18:18:21Z",
    "title_canon_sha256": "333817e7e9d1e27bb15a17c66fd68a7fc15aa6952cf9761771d15fb1548490b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4442",
    "kind": "arxiv",
    "version": 1
  }
}