Pith Number

pith:ASW6UDUQ

pith:2007:ASW6UDUQHJA5ECQMZ6RUMNVHV6

not attested not anchored not stored refs pending

Crossings and nesting in tangled-diagrams

Christian M. Reidys, Jing Qin, William Y. C. Chen

arxiv:0710.4053 v2 · 2007-10-22 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASW6UDUQHJA5ECQMZ6RUMNVHV6}

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	2026-05-18T04:09:13.993110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04adea0e903a41d20a0ccfa34636a7af96556b9ade509554e40e37ea8b87099f

Aliases

arxiv: 0710.4053 · arxiv_version: 0710.4053v2 · doi: 10.48550/arxiv.0710.4053 · pith_short_12: ASW6UDUQHJA5 · pith_short_16: ASW6UDUQHJA5ECQM · pith_short_8: ASW6UDUQ

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/ASW6UDUQHJA5ECQMZ6RUMNVHV6 \
  | 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: 04adea0e903a41d20a0ccfa34636a7af96556b9ade509554e40e37ea8b87099f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f42165be0ff89775327c00c13b803610adbc8a3790bc5b4c1f2481c2ad7ed18",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-10-22T13:32:47Z",
    "title_canon_sha256": "06427abd74ada90084cedc3c46145963389c8960f3b214923fcc388edc6d878b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4053",
    "kind": "arxiv",
    "version": 2
  }
}