Pith Number

pith:PIUMBA4Y

pith:2012:PIUMBA4YYKQ2SV2LWPH3STDUGR

not attested not anchored not stored refs pending

On B\"{o}ttcher coordinates and quasiregular maps

Alastair Fletcher, Robert Fryer

arxiv:1205.1978 v1 · 2012-05-09 · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIUMBA4YYKQ2SV2LWPH3STDUGR}

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	2026-05-18T03:55:58.086047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a28c08398c2a1a9574bb3cfb94c743460328f8e6826ef5dbd64394249ec0740

Aliases

arxiv: 1205.1978 · arxiv_version: 1205.1978v1 · doi: 10.48550/arxiv.1205.1978 · pith_short_12: PIUMBA4YYKQ2 · pith_short_16: PIUMBA4YYKQ2SV2L · pith_short_8: PIUMBA4Y

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/PIUMBA4YYKQ2SV2LWPH3STDUGR \
  | 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: 7a28c08398c2a1a9574bb3cfb94c743460328f8e6826ef5dbd64394249ec0740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbdcff05b9664cdd513ec4e537346ad7f5d249cd917c46aac6cda4c3a161dc7d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-05-09T13:29:36Z",
    "title_canon_sha256": "333f0aa147e3365a9d0f96be84774681cbd729fd84aa038905d55a997ac1dd22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1978",
    "kind": "arxiv",
    "version": 1
  }
}