Pith Number

pith:V2TZ43IM

pith:2026:V2TZ43IMVPDSOFCO3H666FJAWF

not attested not anchored not stored refs pending

Large Independent Sets in Flag Spheres

Varun Shah

arxiv:2606.16109 v2 · 2026-06-15 · 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{V2TZ43IMVPDSOFCO3H666FJAWF}

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	2026-06-30T02:17:24.999669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea79e6d0cabc727144ed9fdef1520b16c560200fe8567fbe828df6507e85bcd

Aliases

arxiv: 2606.16109 · arxiv_version: 2606.16109v2 · doi: 10.48550/arxiv.2606.16109 · pith_short_12: V2TZ43IMVPDS · pith_short_16: V2TZ43IMVPDSOFCO · pith_short_8: V2TZ43IM

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/V2TZ43IMVPDSOFCO3H666FJAWF \
  | 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: aea79e6d0cabc727144ed9fdef1520b16c560200fe8567fbe828df6507e85bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbb6704e6762d582b63646aaca8761c616a68b0bbf72555b983f1522a5deb241",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-15T01:54:25Z",
    "title_canon_sha256": "f9d6dec956bf0db4eed2b2ed83f297f3c8c805a572cccdc3d8c430fcb5d5513b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.16109",
    "kind": "arxiv",
    "version": 2
  }
}