Pith Number

pith:F43XGHA7

pith:2016:F43XGHA7HSXNZNF4KHBVJKGNMO

not attested not anchored not stored refs pending

Spectral measure at zero for self-similar tilings

I2M), Jordan Emme (AMU

arxiv:1606.02470 v2 · 2016-06-08 · math.DS · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F43XGHA7HSXNZNF4KHBVJKGNMO}

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	2026-05-18T00:32:21.362335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f37731c1f3caedcb4bc51c354a8cd63a1cad6e35dfdd867190b567fd784cb4a

Aliases

arxiv: 1606.02470 · arxiv_version: 1606.02470v2 · doi: 10.48550/arxiv.1606.02470 · pith_short_12: F43XGHA7HSXN · pith_short_16: F43XGHA7HSXNZNF4 · pith_short_8: F43XGHA7

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/F43XGHA7HSXNZNF4KHBVJKGNMO \
  | 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: 2f37731c1f3caedcb4bc51c354a8cd63a1cad6e35dfdd867190b567fd784cb4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015c539c3107d4c47e51b8cdf9a05e8ae61b6c398cbc1f226d6adbe05cb13705",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-08T09:38:35Z",
    "title_canon_sha256": "3059b03d0806739f613b17e653a28858cbff966791105ce74caa1beb7e440aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02470",
    "kind": "arxiv",
    "version": 2
  }
}