Pith Number

pith:UE5G3QOH

pith:2013:UE5G3QOHK5M4SQQ4A2YBMAGNER

not attested not anchored not stored refs pending

0-1 sequences of the Thue-Morse type and Sarnak's conjecture

el Houcein el Abdalaoui, Mariusz Lema\'nczyk, Stanis{\l}aw Kasjan

arxiv:1304.3587 v2 · 2013-04-12 · 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{UE5G3QOHK5M4SQQ4A2YBMAGNER}

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	2026-05-18T03:10:47.732252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13a6dc1c75759c9421c06b01600cd24472149a284f34a9b63432dfdd969a6b9

Aliases

arxiv: 1304.3587 · arxiv_version: 1304.3587v2 · doi: 10.48550/arxiv.1304.3587 · pith_short_12: UE5G3QOHK5M4 · pith_short_16: UE5G3QOHK5M4SQQ4 · pith_short_8: UE5G3QOH

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/UE5G3QOHK5M4SQQ4A2YBMAGNER \
  | 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: a13a6dc1c75759c9421c06b01600cd24472149a284f34a9b63432dfdd969a6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe6310dfc8a990841886b61f7fc0f547fe54df9eda27cc4870a48281b9a02a9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-12T10:05:18Z",
    "title_canon_sha256": "1e29f926f37fe173a91326cb5f3cd720ad6191f8271681ec380da52f3f7b3048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3587",
    "kind": "arxiv",
    "version": 2
  }
}