Pith Number

pith:R2CRMT3P

pith:2016:R2CRMT3PB3UBRF7GSN62HLL6FI

not attested not anchored not stored refs pending

Stability for the Complete Intersection Theorem, and the Forbidden Intersection Problem of Erd\H{o}s and S\'os

David Ellis, Nathan Keller, Noam Lifshitz

arxiv:1604.06135 v4 · 2016-04-20 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2CRMT3PB3UBRF7GSN62HLL6FI}

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	2026-05-18T00:22:11.293798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e85164f6f0ee81897e6937da3ad7e2a0b0dacd60034a7829fba437197e5982d

Aliases

arxiv: 1604.06135 · arxiv_version: 1604.06135v4 · doi: 10.48550/arxiv.1604.06135 · pith_short_12: R2CRMT3PB3UB · pith_short_16: R2CRMT3PB3UBRF7G · pith_short_8: R2CRMT3P

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/R2CRMT3PB3UBRF7GSN62HLL6FI \
  | 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: 8e85164f6f0ee81897e6937da3ad7e2a0b0dacd60034a7829fba437197e5982d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539ef148a6082270cce4fa145036c05e0c48a28aa4352872faa6a40901ca2709",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-20T22:42:26Z",
    "title_canon_sha256": "0c41e786411340a200f58707c851eaa415a222e7adf17da6c5bb75ae7e87c5a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06135",
    "kind": "arxiv",
    "version": 4
  }
}