Pith Number

pith:MCFYRBCT

pith:2016:MCFYRBCTWIYCZOC3S66YIAEHIO

not attested not anchored not stored refs pending

Hedgehogs in higher dimensions and their applications

Mikhail Lyubich, Raluca Tanase, Remus Radu

arxiv:1611.09840 v2 · 2016-11-29 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCFYRBCTWIYCZOC3S66YIAEHIO}

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	2026-05-18T00:27:09.815644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608b888453b2302cb85b97bd84008743a54d5ecd0e344305511bb164d653f86a

Aliases

arxiv: 1611.09840 · arxiv_version: 1611.09840v2 · doi: 10.48550/arxiv.1611.09840 · pith_short_12: MCFYRBCTWIYC · pith_short_16: MCFYRBCTWIYCZOC3 · pith_short_8: MCFYRBCT

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/MCFYRBCTWIYCZOC3S66YIAEHIO \
  | 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: 608b888453b2302cb85b97bd84008743a54d5ecd0e344305511bb164d653f86a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92672f1e0d7e0e49d2e4f4e620e4361744d94f460a301bc50bd95802138d15fe",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-29T20:50:30Z",
    "title_canon_sha256": "b30f93a9c85e9227a9d2c488339cce94ad0303042b81c70568b17ab7274d34a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09840",
    "kind": "arxiv",
    "version": 2
  }
}