Pith Number

pith:DKREBQ7I

pith:2026:DKREBQ7I6KPK6WQF2DZEYNLXG4

not attested not anchored not stored refs pending

Balanced Sperner families via the topological Tverberg theorem

Chong Shangguan, Yulin Yang, Zixiang Xu

arxiv:2606.10885 v1 · 2026-06-09 · 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{DKREBQ7I6KPK6WQF2DZEYNLXG4}

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	2026-06-10T01:10:45.705448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa240c3e8f29eaf5a05d0f24c357737266c2749a185878e2895dcf2e6449015

Aliases

arxiv: 2606.10885 · arxiv_version: 2606.10885v1 · doi: 10.48550/arxiv.2606.10885 · pith_short_12: DKREBQ7I6KPK · pith_short_16: DKREBQ7I6KPK6WQF · pith_short_8: DKREBQ7I

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/DKREBQ7I6KPK6WQF2DZEYNLXG4 \
  | 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: 1aa240c3e8f29eaf5a05d0f24c357737266c2749a185878e2895dcf2e6449015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e0288c902f964b60bdd0fbc51565ebb0b7ab2b6cf85f849012ec4a6973ee430",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T13:59:23Z",
    "title_canon_sha256": "b92d42f759a7636eadb739629ec2ebd988b3c623a9e5b7ac4c618cb9a380506c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10885",
    "kind": "arxiv",
    "version": 1
  }
}