Pith Number

pith:AJETUWRM

pith:2026:AJETUWRMR3NDAVHBFQNTQDIR4Y

not attested not anchored not stored refs pending

A Beckmann boundary form of Talagrand's conjecture on the discrete cube

Haonan Zhang, Paata Ivanisvili, Xinyuan Xie

arxiv:2606.31961 v1 · 2026-06-30 · math.CA · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJETUWRMR3NDAVHBFQNTQDIR4Y}

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	2026-07-01T01:18:27.079926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02493a5a2c8eda3054e12c1b380d11e6194d0d914430390a9f11d416648d230b

Aliases

arxiv: 2606.31961 · arxiv_version: 2606.31961v1 · doi: 10.48550/arxiv.2606.31961 · pith_short_12: AJETUWRMR3ND · pith_short_16: AJETUWRMR3NDAVHB · pith_short_8: AJETUWRM

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/AJETUWRMR3NDAVHBFQNTQDIR4Y \
  | 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: 02493a5a2c8eda3054e12c1b380d11e6194d0d914430390a9f11d416648d230b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0767609ed35441f034d093a21532306cea8bf3b3ce5b75f094bb77a41a816ea",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-30T17:02:21Z",
    "title_canon_sha256": "3ae2d4a5ae5271745652d5e63dd9bcb01cdcb2f83dba75b1ac83466bc07073eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31961",
    "kind": "arxiv",
    "version": 1
  }
}