Pith Number

pith:NYH5QBJB

pith:2026:NYH5QBJBMWG52NCTNG4AHXNSDY

not attested not anchored not stored refs pending

Strong invariants and Tverberg numbers in convexity spaces

Andreas F. Holmsen, Attila Jung, Hong Liu, Minho Cho

arxiv:2607.29403 v1 · 2026-07-31 · math.CO · cs.CG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NYH5QBJBMWG52NCTNG4AHXNSDY}

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	2026-08-03T01:33:38.769358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e0fd80521658ddd345369b803ddb21e0d34991f60f44436304b5afb7c872e3c

Aliases

arxiv: 2607.29403 · arxiv_version: 2607.29403v1 · doi: 10.48550/arxiv.2607.29403 · pith_short_12: NYH5QBJBMWG5 · pith_short_16: NYH5QBJBMWG52NCT · pith_short_8: NYH5QBJB

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/NYH5QBJBMWG52NCTNG4AHXNSDY \
  | 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: 6e0fd80521658ddd345369b803ddb21e0d34991f60f44436304b5afb7c872e3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "225ed2134c268d05177b4e2c7b4e4fa138b92f36af31d1063593a736d85f27e5",
    "cross_cats_sorted": [
      "cs.CG",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-31T13:22:12Z",
    "title_canon_sha256": "f03500050ebc83d4a4b186a90fe213da6e1f9757c5a866e2c469aecce58bff13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29403",
    "kind": "arxiv",
    "version": 1
  }
}