Pith Number

pith:N6NF4KQN

pith:2015:N6NF4KQNAK7GDF2MUMKBYJ5YBA

not attested not anchored not stored refs pending

Refining a Tree-Decomposition which Distinguishes Tangles

Joshua Erde

arxiv:1512.02499 v2 · 2015-12-08 · 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{N6NF4KQNAK7GDF2MUMKBYJ5YBA}

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	2026-05-18T00:49:36.849618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f9a5e2a0d02be61974ca3141c27b8080c89a1e81a730e8b8718cb5e04839985

Aliases

arxiv: 1512.02499 · arxiv_version: 1512.02499v2 · doi: 10.48550/arxiv.1512.02499 · pith_short_12: N6NF4KQNAK7G · pith_short_16: N6NF4KQNAK7GDF2M · pith_short_8: N6NF4KQN

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/N6NF4KQNAK7GDF2MUMKBYJ5YBA \
  | 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: 6f9a5e2a0d02be61974ca3141c27b8080c89a1e81a730e8b8718cb5e04839985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41ac416d4c2b1f41b3203bd0e6a76ebbb1764110f1f46be034e7217b6bcbca59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-08T15:09:53Z",
    "title_canon_sha256": "6aef6fb1f5bc32dc1fecfda03deb2f571c055be052e85ecfbff5e725279dc4a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02499",
    "kind": "arxiv",
    "version": 2
  }
}