Pith Number

pith:MJ277I2N

pith:2011:MJ277I2NYAYDIFAWMU5V3OE5FY

not attested not anchored not stored refs pending

On the exponential transform of lemniscates

Bj\"orn Gustafssom, Vladimir G. Tkachev

arxiv:1101.0794 v1 · 2011-01-04 · math.CV · math.CA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJ277I2NYAYDIFAWMU5V3OE5FY}

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	2026-05-18T03:39:06.528471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6275ffa34dc030341416653b5db89d2e0eb7200ed14cc0ab1ca909161b65e468

Aliases

arxiv: 1101.0794 · arxiv_version: 1101.0794v1 · doi: 10.48550/arxiv.1101.0794 · pith_short_12: MJ277I2NYAYD · pith_short_16: MJ277I2NYAYDIFAW · pith_short_8: MJ277I2N

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/MJ277I2NYAYDIFAWMU5V3OE5FY \
  | 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: 6275ffa34dc030341416653b5db89d2e0eb7200ed14cc0ab1ca909161b65e468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fce81bb05a0ac557132ebb092eaf953261e047dca7b4926fba276b9f4defa1a9",
    "cross_cats_sorted": [
      "math.CA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-01-04T19:09:48Z",
    "title_canon_sha256": "4ded2d5b916da4bab1e20a3a6a1c7f9b9d5aa534cd4cb42d695294c364fd59db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0794",
    "kind": "arxiv",
    "version": 1
  }
}