Pith Number

pith:BLKL63LG

pith:2020:BLKL63LG7DVAIGLH2Z5LX63NKX

not attested not anchored not stored refs pending

Trees of tangles in infinite separation systems

Christian Elbracht, Jay Lilian Kneip, Maximilian Teegen

arxiv:2005.12122 v4 · 2020-05-25 · 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{BLKL63LG7DVAIGLH2Z5LX63NKX}

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.

Cited by

1 paper in Pith

On vertex sets inducing tangles

Receipt and verification

First computed	2026-07-05T11:03:44.096866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad4bf6d66f8ea041967d67abbfb6d55ef15f0d4ca3ba2ffdf814e7300ab4278

Aliases

arxiv: 2005.12122 · arxiv_version: 2005.12122v4 · doi: 10.48550/arxiv.2005.12122 · pith_short_12: BLKL63LG7DVA · pith_short_16: BLKL63LG7DVAIGLH · pith_short_8: BLKL63LG

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/BLKL63LG7DVAIGLH2Z5LX63NKX \
  | 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: 0ad4bf6d66f8ea041967d67abbfb6d55ef15f0d4ca3ba2ffdf814e7300ab4278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a702b1fcf7326ef612eedfef074f857663dff0f7fd12581fbd6853181d6fd89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-05-25T14:04:39Z",
    "title_canon_sha256": "85817fc974aab6f7e8ade6c5cb12a082885ed8ce94e858fe19143fcca684ac93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.12122",
    "kind": "arxiv",
    "version": 4
  }
}