Pith Number

pith:DA6TLV5M

pith:2019:DA6TLV5MKGC76EXEXPBP2BZ5U2

not attested not anchored not stored refs pending

A lower bound on critical points of the electric potential of a knot

Max Lipton

arxiv:1908.01942 v6 · 2019-08-06 · math.DS · 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{DA6TLV5MKGC76EXEXPBP2BZ5U2}

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	2026-07-05T02:28:15.514611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

183d35d7ac5185ff12e4bbc2fd073da6a820e257c5507e2896c7ee71e378f047

Aliases

arxiv: 1908.01942 · arxiv_version: 1908.01942v6 · doi: 10.48550/arxiv.1908.01942 · pith_short_12: DA6TLV5MKGC7 · pith_short_16: DA6TLV5MKGC76EXE · pith_short_8: DA6TLV5M

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/DA6TLV5MKGC76EXEXPBP2BZ5U2 \
  | 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: 183d35d7ac5185ff12e4bbc2fd073da6a820e257c5507e2896c7ee71e378f047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0589131e033f077e63bad17f411a8cc7c00859c851c04ad54b60ca6cfefc873",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-06T03:45:06Z",
    "title_canon_sha256": "95e5e69afef1c69e1656f32517102b3979abb9454244c161885385436e369374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01942",
    "kind": "arxiv",
    "version": 6
  }
}