Pith Number

pith:BCGSNEIF

pith:2020:BCGSNEIFELP2QLLEH2KGRXNUCT

not attested not anchored not stored refs pending

Intersection theorems for triangles

Andreas Holmsen, Andrey Kupavskii, Peter Frankl

arxiv:2009.14560 v2 · 2020-09-30 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCGSNEIFELP2QLLEH2KGRXNUCT}

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	2026-07-05T02:16:15.242080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088d26910522dfa82d643e9468ddb414c414bcd8d9a0dca53d5a705d056ea288

Aliases

arxiv: 2009.14560 · arxiv_version: 2009.14560v2 · doi: 10.48550/arxiv.2009.14560 · pith_short_12: BCGSNEIFELP2 · pith_short_16: BCGSNEIFELP2QLLE · pith_short_8: BCGSNEIF

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/BCGSNEIFELP2QLLEH2KGRXNUCT \
  | 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: 088d26910522dfa82d643e9468ddb414c414bcd8d9a0dca53d5a705d056ea288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ed6bd878113c27ec73f1026fcc4b616645137ca6893ff04a70ee2629fb06f9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-30T11:00:56Z",
    "title_canon_sha256": "d4b51701e5a3ee5cc04a737a207ee847f93170e0dde10b8d2901a1cc891ab3f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.14560",
    "kind": "arxiv",
    "version": 2
  }
}