Pith Number

pith:N75YI5K4

pith:2015:N75YI5K457HQTGO7MHMYBH6P73

not attested not anchored not stored refs pending

Return times at periodic points in random dynamics

Mike Todd, Nicolai Haydn

arxiv:1511.01657 v2 · 2015-11-05 · 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{N75YI5K457HQTGO7MHMYBH6P73}

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	2026-05-18T00:55:58.420915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ffb84755cefcf0999df61d9809fcffec73cf50a0fcc8cfcb7d5464020350528

Aliases

arxiv: 1511.01657 · arxiv_version: 1511.01657v2 · doi: 10.48550/arxiv.1511.01657 · pith_short_12: N75YI5K457HQ · pith_short_16: N75YI5K457HQTGO7 · pith_short_8: N75YI5K4

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/N75YI5K457HQTGO7MHMYBH6P73 \
  | 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: 6ffb84755cefcf0999df61d9809fcffec73cf50a0fcc8cfcb7d5464020350528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c79ce89f627e64f616e1900073aec33481a94b9475de5b401b49fd3f9e64be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-05T09:00:07Z",
    "title_canon_sha256": "b43b47602169b742377c225fc98b0196eb8c0b8cad2f174a654122b5341bf746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01657",
    "kind": "arxiv",
    "version": 2
  }
}