Pith Number

pith:OTWDDJGJ

pith:2026:OTWDDJGJUMCB3T3CFJ76DF53BE

not attested not anchored not stored refs pending

Forcing Quasirandomness via Rooted F-Densities

Heng Li, Xizhi Liu

arxiv:2608.08679 v1 · 2026-08-09 · 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{OTWDDJGJUMCB3T3CFJ76DF53BE}

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	2026-08-11T01:23:27.617004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74ec31a4c9a3041dcf622a7fe197bb0910990239514b4c81644a3d1ac3024e90

Aliases

arxiv: 2608.08679 · arxiv_version: 2608.08679v1 · doi: 10.48550/arxiv.2608.08679 · pith_short_12: OTWDDJGJUMCB · pith_short_16: OTWDDJGJUMCB3T3C · pith_short_8: OTWDDJGJ

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/OTWDDJGJUMCB3T3CFJ76DF53BE \
  | 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: 74ec31a4c9a3041dcf622a7fe197bb0910990239514b4c81644a3d1ac3024e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e1d8ea7e3e93633ce34600798f47d7161ecdcc6d331ea92ceb3d822e6222a7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-09T12:50:42Z",
    "title_canon_sha256": "e42ff22af6330226df493007ef0e5020b44c13322ea2d9b8d979265ad5c1f29f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08679",
    "kind": "arxiv",
    "version": 1
  }
}