Pith Number

pith:I3QTIXUE

pith:2013:I3QTIXUE6PFKVUEYAKJ5ZIRHCX

not attested not anchored not stored refs pending

Torus knots as Hopfions

Michikazu Kobayashi, Muneto Nitta

arxiv:1304.6021 v2 · 2013-04-22 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3QTIXUE6PFKVUEYAKJ5ZIRHCX}

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	2026-05-18T03:04:37.907654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46e1345e84f3caaad0980293dca22715e977887a7fd162c3485f71769e0b297f

Aliases

arxiv: 1304.6021 · arxiv_version: 1304.6021v2 · doi: 10.48550/arxiv.1304.6021 · pith_short_12: I3QTIXUE6PFK · pith_short_16: I3QTIXUE6PFKVUEY · pith_short_8: I3QTIXUE

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/I3QTIXUE6PFKVUEYAKJ5ZIRHCX \
  | 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: 46e1345e84f3caaad0980293dca22715e977887a7fd162c3485f71769e0b297f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b4bd15a702fbdaf6a697f7dc832524177a63ae1b0f148cb4ce9a8e087011cc1",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-22T17:09:50Z",
    "title_canon_sha256": "ac89aebd43f5d6b8236c8ffc13a23b32103cdbf3c3dcd2ad2f536ba161ee7c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6021",
    "kind": "arxiv",
    "version": 2
  }
}