Pith Number

pith:Y2FNZZJL

pith:2021:Y2FNZZJL5UBQSNVD5TPHHNAE2U

not attested not anchored not stored refs pending

The profile polytope of non-trivial intersecting families

D\'aniel Gerbner

arxiv:2109.05615 v2 · 2021-09-12 · 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{Y2FNZZJL5UBQSNVD5TPHHNAE2U}

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	2026-07-05T04:03:37.466813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c68adce52bed030936a3ecde73b404d5254df5469f16a478b84b78212edf894e

Aliases

arxiv: 2109.05615 · arxiv_version: 2109.05615v2 · doi: 10.48550/arxiv.2109.05615 · pith_short_12: Y2FNZZJL5UBQ · pith_short_16: Y2FNZZJL5UBQSNVD · pith_short_8: Y2FNZZJL

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/Y2FNZZJL5UBQSNVD5TPHHNAE2U \
  | 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: c68adce52bed030936a3ecde73b404d5254df5469f16a478b84b78212edf894e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea37a75a0f61e016b2477b4f66aa2d3c3cd9106faa1cb78e6b81d3496536838a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-09-12T21:09:58Z",
    "title_canon_sha256": "d18c59c760e7eeb70efd72a05be9b0fcc149b8a25d55b92be5c90951aae90d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05615",
    "kind": "arxiv",
    "version": 2
  }
}