Pith Number

pith:YNVKSUB4

pith:1992:YNVKSUB454YLGMX232XONBBPWD

not attested not anchored not stored refs pending

The existence of sigma-finite invariant measures, applications to real one-dimensional dynamics

Marco Martens

arxiv:math/9201300 v1 · 1992-01-15 · 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{YNVKSUB454YLGMX232XONBBPWD}

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	2026-05-18T01:05:53.034355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36aa9503cef30b332fadeaee6842fb0c31239282e99700bbda94603ad1e1a38

Aliases

arxiv: math/9201300 · arxiv_version: math/9201300v1 · doi: 10.48550/arxiv.math/9201300 · pith_short_12: YNVKSUB454YL · pith_short_16: YNVKSUB454YLGMX2 · pith_short_8: YNVKSUB4

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/YNVKSUB454YLGMX232XONBBPWD \
  | 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: c36aa9503cef30b332fadeaee6842fb0c31239282e99700bbda94603ad1e1a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "425809ebf0ab3d871988af3d92dcd976796e27bb4d9986b8e5a2ad6bd635204c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1992-01-15T00:00:00Z",
    "title_canon_sha256": "fa9aba8501bf7d59a04752a66dc488edb5462d10d7ec15d72a60de95b2adbcf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201300",
    "kind": "arxiv",
    "version": 1
  }
}