Pith Number

pith:5RT3JDLL

pith:2011:5RT3JDLLRXMN52R2GWPFYDXJO4

not attested not anchored not stored refs pending

Energies of knot diagrams

Alexey Sossinsky, Oleg Karpenkov

arxiv:1106.3414 v1 · 2011-06-17 · math-ph · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RT3JDLLRXMN52R2GWPFYDXJO4}

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	2026-05-18T02:01:35.846368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec67b48d6b8dd8deea3a359e5c0ee97711197916016f0b42ccb0ac5c12dc7ba3

Aliases

arxiv: 1106.3414 · arxiv_version: 1106.3414v1 · doi: 10.48550/arxiv.1106.3414 · pith_short_12: 5RT3JDLLRXMN · pith_short_16: 5RT3JDLLRXMN52R2 · pith_short_8: 5RT3JDLL

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/5RT3JDLLRXMN52R2GWPFYDXJO4 \
  | 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: ec67b48d6b8dd8deea3a359e5c0ee97711197916016f0b42ccb0ac5c12dc7ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba96ebe76a0396677979c50337b65a5c997e12dc34fb18d2e0e6a57c4486c84",
    "cross_cats_sorted": [
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-17T08:43:54Z",
    "title_canon_sha256": "5caccea731dd57a0cfdd5f57b89e3f23e17f8061e16061cfca12cba0891ed6db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3414",
    "kind": "arxiv",
    "version": 1
  }
}