Pith Number

pith:X5R6CITV

pith:2017:X5R6CITVZE37F25LFCUU4K7KXQ

not attested not anchored not stored refs pending

Analogies between the crossing number and the tangle crossing number

Austin Mohr, \'Eva Czabarka, Fidel Barrera-Cruz, Giordano Da Lozzo, Hays Whitlatch, Heather C. Smith, Jephian C.-H. Lin, L\'aszl\'o A. Sz\'ekely, Natalie L. F. Hobson, Robin Anderson, Shuliang Bai

arxiv:1709.08119 v1 · 2017-09-23 · 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{X5R6CITVZE37F25LFCUU4K7KXQ}

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	2026-05-18T00:34:27.934856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf63e12275c937f2ebab28a94e2beabc2c75adc7b3883e7bf4d30f3383c1186e

Aliases

arxiv: 1709.08119 · arxiv_version: 1709.08119v1 · doi: 10.48550/arxiv.1709.08119 · pith_short_12: X5R6CITVZE37 · pith_short_16: X5R6CITVZE37F25L · pith_short_8: X5R6CITV

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/X5R6CITVZE37F25LFCUU4K7KXQ \
  | 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: bf63e12275c937f2ebab28a94e2beabc2c75adc7b3883e7bf4d30f3383c1186e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09bfc99363953b041564e93b616721d2a22fa2b23138047103a372b40185ed8e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-23T21:26:02Z",
    "title_canon_sha256": "852c5181a8df780437402efa186dc216d3562a060818c18fc575c346e11b0efe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08119",
    "kind": "arxiv",
    "version": 1
  }
}