Pith Number

pith:22WNUW7M

pith:2026:22WNUW7M2D5DM2MWMUNMCHL5CR

not attested not anchored not stored refs pending

2-adic Valuations of Coefficients of the Fifth and Ninth Powers of the Thue--Morse Generating Function

Xinping Wang, Zhao Shen

arxiv:2606.28718 v1 · 2026-06-27 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22WNUW7M2D5DM2MWMUNMCHL5CR}

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	2026-06-30T01:16:49.106061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6acda5becd0fa366996651ac11d7d1448277dba3a22a7f43e769866d29d4ef2

Aliases

arxiv: 2606.28718 · arxiv_version: 2606.28718v1 · doi: 10.48550/arxiv.2606.28718 · pith_short_12: 22WNUW7M2D5D · pith_short_16: 22WNUW7M2D5DM2MW · pith_short_8: 22WNUW7M

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/22WNUW7M2D5DM2MWMUNMCHL5CR \
  | 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: d6acda5becd0fa366996651ac11d7d1448277dba3a22a7f43e769866d29d4ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f433ac6e1e30655d090c8ff90cf942bd13903e4554cf9878bb6c513e8051ecb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-27T03:52:52Z",
    "title_canon_sha256": "3f2df29a854835e5c93a7943c027f9657c279fb4fe3d8aa036969fd429727e60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28718",
    "kind": "arxiv",
    "version": 1
  }
}