Pith Number

pith:DTXBLBPD

pith:2026:DTXBLBPDKPB7MBQY5Q23FJXK3L

not attested not anchored not stored refs pending

$\mathrm{IP}_{\mathrm{rat}}$-polynomial recurrence and large intersections

Borys Holikov, Or Shalom

arxiv:2607.09358 v1 · 2026-07-10 · math.DS · 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{DTXBLBPDKPB7MBQY5Q23FJXK3L}

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	2026-07-13T01:19:05.695848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cee1585e353c3f60618ec35b2a6eadad992260538b386aa28bf321832e61fc9

Aliases

arxiv: 2607.09358 · arxiv_version: 2607.09358v1 · doi: 10.48550/arxiv.2607.09358 · pith_short_12: DTXBLBPDKPB7 · pith_short_16: DTXBLBPDKPB7MBQY · pith_short_8: DTXBLBPD

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/DTXBLBPDKPB7MBQY5Q23FJXK3L \
  | 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: 1cee1585e353c3f60618ec35b2a6eadad992260538b386aa28bf321832e61fc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eea49da741a61cd7d4391006c06cd3cd815806b4b17a599546dd75c328abdcd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-10T12:36:18Z",
    "title_canon_sha256": "945a8d4efeb0e6de7ae342510598bb29b245775ee55abab13061cc5dca5c8314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09358",
    "kind": "arxiv",
    "version": 1
  }
}