Pith Number

pith:WUQF4XYF

pith:2017:WUQF4XYFZV5N2BJAGANBACCSTT

not attested not anchored not stored refs pending

Intrinsically Knotted and 4-Linked Directed Graphs

Joel Foisy, Thomas Fleming

arxiv:1702.06233 v2 · 2017-02-21 · math.GT · 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{WUQF4XYFZV5N2BJAGANBACCSTT}

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	2026-05-18T00:27:09.650310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5205e5f05cd7add0520301a1008529cc010657465e79172aa01a0572e26fccf

Aliases

arxiv: 1702.06233 · arxiv_version: 1702.06233v2 · doi: 10.48550/arxiv.1702.06233 · pith_short_12: WUQF4XYFZV5N · pith_short_16: WUQF4XYFZV5N2BJA · pith_short_8: WUQF4XYF

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/WUQF4XYFZV5N2BJAGANBACCSTT \
  | 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: b5205e5f05cd7add0520301a1008529cc010657465e79172aa01a0572e26fccf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34591b7cb15b8b40d0d82e3f280b51e809f8a4364f525c1748dc520ddc0187a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-21T01:25:13Z",
    "title_canon_sha256": "c4a8d9c22315946510e9f77f14d33472379ade2d356aba0627b1eab7cb19091a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06233",
    "kind": "arxiv",
    "version": 2
  }
}