Pith Number

pith:IMMSGZRV

pith:2016:IMMSGZRVBCYV6GHHCTNRXQFLQN

not attested not anchored not stored refs pending

Projections of planar Mandelbrot measures

De-Jun Feng, Julien Barral

arxiv:1605.09083 v1 · 2016-05-30 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMMSGZRVBCYV6GHHCTNRXQFLQN}

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	2026-05-18T01:13:22.152976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

431923663508b15f18e714db1bc0ab8372abd5c4db7abe5c9aa6dd55fe801940

Aliases

arxiv: 1605.09083 · arxiv_version: 1605.09083v1 · doi: 10.48550/arxiv.1605.09083 · pith_short_12: IMMSGZRVBCYV · pith_short_16: IMMSGZRVBCYV6GHH · pith_short_8: IMMSGZRV

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/IMMSGZRVBCYV6GHHCTNRXQFLQN \
  | 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: 431923663508b15f18e714db1bc0ab8372abd5c4db7abe5c9aa6dd55fe801940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0e080345758805c4155b049fd4ce243636c2a24f7679aa172c07f9ec7e77cd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-30T01:27:08Z",
    "title_canon_sha256": "e75b39b9e890b1e8f74c92fec3085229000767f812c6a3321db41fc8074c7817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09083",
    "kind": "arxiv",
    "version": 1
  }
}