Pith Number

pith:JKABQ2HP

pith:2019:JKABQ2HPY7O4JAZ3EIZ62ZRVPV

not attested not anchored not stored refs pending

Trees of tangles in abstract separation systems

Christian Elbracht, Jay Lilian Kneip, Maximilian Teegen

arxiv:1909.09030 v2 · 2019-09-19 · 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{JKABQ2HPY7O4JAZ3EIZ62ZRVPV}

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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	2026-07-05T11:03:44.037602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a801868efc7ddc4833b2233ed66357d5bd97e6b1a0fcf256b44b04d784b0896

Aliases

arxiv: 1909.09030 · arxiv_version: 1909.09030v2 · doi: 10.48550/arxiv.1909.09030 · pith_short_12: JKABQ2HPY7O4 · pith_short_16: JKABQ2HPY7O4JAZ3 · pith_short_8: JKABQ2HP

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/JKABQ2HPY7O4JAZ3EIZ62ZRVPV \
  | 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: 4a801868efc7ddc4833b2233ed66357d5bd97e6b1a0fcf256b44b04d784b0896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d71fc9fc0303399699bf0b6543ca696ec200ebea7367461afdc3b2f5ce79042",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-19T15:00:04Z",
    "title_canon_sha256": "fdf80a7ffbc77df722c9649be20651c611eff23cf3e6d9ee975fc2e45f0ad94e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.09030",
    "kind": "arxiv",
    "version": 2
  }
}