Pith Number

pith:HMLPMKJB

pith:2012:HMLPMKJBVIPOYKYLUIL24CRCN5

not attested not anchored not stored refs pending

Hard analysis meets critical knots (Stationary points of the Moebius energy are smooth)

Armin Schikorra, Philipp Reiter, Simon Blatt

arxiv:1202.5426 v2 · 2012-02-24 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMLPMKJBVIPOYKYLUIL24CRCN5}

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	2026-05-18T01:24:37.176147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b16f62921aa1eec2b0ba217ae0a226f4bbf10942b03cf196494a6c27421a44e

Aliases

arxiv: 1202.5426 · arxiv_version: 1202.5426v2 · doi: 10.48550/arxiv.1202.5426 · pith_short_12: HMLPMKJBVIPO · pith_short_16: HMLPMKJBVIPOYKYL · pith_short_8: HMLPMKJB

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/HMLPMKJBVIPOYKYLUIL24CRCN5 \
  | 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: 3b16f62921aa1eec2b0ba217ae0a226f4bbf10942b03cf196494a6c27421a44e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7036c41bea3148c39da95a9384606ac235458f6608e0377b659a4cc69f42b655",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-24T11:48:01Z",
    "title_canon_sha256": "1d5cf2f3016f3efdfa86e7ab7dd769c14428c1e15ee6d2a2f125887c2df9a1f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5426",
    "kind": "arxiv",
    "version": 2
  }
}