Pith Number

pith:7DOZOAZK

pith:2011:7DOZOAZK2SQOY3IPAW3JNPO5CQ

not attested not anchored not stored refs pending

How to Transform and Filter Images using Iterated Function Systems

Brendan Harding, Konstantin Igudesman, Michael F. Barnsley

arxiv:1102.3199 v1 · 2011-02-15 · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DOZOAZK2SQOY3IPAW3JNPO5CQ}

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	2026-05-18T04:28:36.870486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8dd97032ad4a0ec6d0f05b696bddd142a0935e1b636cca80c9b512222ccbcb9

Aliases

arxiv: 1102.3199 · arxiv_version: 1102.3199v1 · doi: 10.48550/arxiv.1102.3199 · pith_short_12: 7DOZOAZK2SQO · pith_short_16: 7DOZOAZK2SQOY3IP · pith_short_8: 7DOZOAZK

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/7DOZOAZK2SQOY3IPAW3JNPO5CQ \
  | 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: f8dd97032ad4a0ec6d0f05b696bddd142a0935e1b636cca80c9b512222ccbcb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8129a8324d1b9319e218361b0bfa8592e6aa16b4b54b42e0634c4f4795dd615c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-15T22:30:18Z",
    "title_canon_sha256": "69fae9fc25831c64670fe6e879c134b1cbf6ef4840187f97c62018dc124ffdd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3199",
    "kind": "arxiv",
    "version": 1
  }
}