Pith Number

pith:S6SEUX3J

pith:2011:S6SEUX3JVEOLZXL7OIAFBFO7XC

not attested not anchored not stored refs pending

Shrinking targets in fast mixing flows and the geodesic flow on negatively curved manifolds

Isaia Nisoli, Stefano Galatolo

arxiv:1101.0486 v2 · 2011-01-03 · 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{S6SEUX3JVEOLZXL7OIAFBFO7XC}

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	2026-05-18T04:10:47.119208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97a44a5f69a91cbcdd7f72005095dfb88254902881b701a25130f73b181096c3

Aliases

arxiv: 1101.0486 · arxiv_version: 1101.0486v2 · doi: 10.48550/arxiv.1101.0486 · pith_short_12: S6SEUX3JVEOL · pith_short_16: S6SEUX3JVEOLZXL7 · pith_short_8: S6SEUX3J

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/S6SEUX3JVEOLZXL7OIAFBFO7XC \
  | 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: 97a44a5f69a91cbcdd7f72005095dfb88254902881b701a25130f73b181096c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d30434ae34a42793ffb58c321d31d677132814aa98ec55529d06c78a25c520b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-03T10:49:33Z",
    "title_canon_sha256": "b974dca205d5908600e199c117490a9eae783721f83d907b9dd3f6b348041e0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0486",
    "kind": "arxiv",
    "version": 2
  }
}