Pith Number

pith:FHAOMXTY

pith:2013:FHAOMXTYXBI64ABBFAAKLDCRAW

not attested not anchored not stored refs pending

Spectrality of Self-Similar Tiles

Ka-Sing Lau, Xiaoye Fu, Xinggang He

arxiv:1309.3942 v1 · 2013-09-16 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHAOMXTYXBI64ABBFAAKLDCRAW}

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	2026-05-18T03:13:11.755895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c0e65e78b851ee00212800a58c51059280ba19e7bb341c5d45e74af78dab54

Aliases

arxiv: 1309.3942 · arxiv_version: 1309.3942v1 · doi: 10.48550/arxiv.1309.3942 · pith_short_12: FHAOMXTYXBI6 · pith_short_16: FHAOMXTYXBI64ABB · pith_short_8: FHAOMXTY

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/FHAOMXTYXBI64ABBFAAKLDCRAW \
  | 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: 29c0e65e78b851ee00212800a58c51059280ba19e7bb341c5d45e74af78dab54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d97a69b6faaea1c6827461d1702dd4dc11b8c1fb194ed105718a7ac9d7bff0d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-16T13:13:35Z",
    "title_canon_sha256": "49a42ee9f6eb018e919a1590f724abe70b40b9ba07792bc8686a99b3cfca66ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3942",
    "kind": "arxiv",
    "version": 1
  }
}