Pith Number

pith:4PVKJCID

pith:2018:4PVKJCIDN7BLTCXE2UGTSB3I4H

not attested not anchored not stored refs pending

Knotting Probability of Equilateral Hexagons

Kathleen Hake

arxiv:1810.11882 v1 · 2018-10-28 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PVKJCIDN7BLTCXE2UGTSB3I4H}

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	2026-05-18T00:02:07.152908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3eaa489036fc2b98ae4d50d390768e1e7337b8cc15ce06846b46ca2fc28412b

Aliases

arxiv: 1810.11882 · arxiv_version: 1810.11882v1 · doi: 10.48550/arxiv.1810.11882 · pith_short_12: 4PVKJCIDN7BL · pith_short_16: 4PVKJCIDN7BLTCXE · pith_short_8: 4PVKJCID

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/4PVKJCIDN7BLTCXE2UGTSB3I4H \
  | 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: e3eaa489036fc2b98ae4d50d390768e1e7337b8cc15ce06846b46ca2fc28412b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "904fdd0bf8b9e1b4121f3212af38ecb27fc45d116e9cbb240194d2b9a8e803bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-10-28T20:56:27Z",
    "title_canon_sha256": "3984af8cdade7938544e444d64ac05e5b23c39d119dd7e948a61fd27e4beb7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11882",
    "kind": "arxiv",
    "version": 1
  }
}