Pith Number

pith:2DZG75IS

pith:2010:2DZG75ISCTLSPIF4NMWSSAPLVR

not attested not anchored not stored refs pending

K-Theoretic Duality for Hyperbolic Dynamical Systems

Ian F. Putnam, Jerome Kaminker, Michael F. Whittaker

arxiv:1009.4999 v1 · 2010-09-25 · math.KT · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DZG75ISCTLSPIF4NMWSSAPLVR}

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	2026-05-18T00:34:35.683813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0f26ff51214d727a0bc6b2d2901ebac53ddd8110c036a7776227334cc1ce82c

Aliases

arxiv: 1009.4999 · arxiv_version: 1009.4999v1 · doi: 10.48550/arxiv.1009.4999 · pith_short_12: 2DZG75ISCTLS · pith_short_16: 2DZG75ISCTLSPIF4 · pith_short_8: 2DZG75IS

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/2DZG75ISCTLSPIF4NMWSSAPLVR \
  | 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: d0f26ff51214d727a0bc6b2d2901ebac53ddd8110c036a7776227334cc1ce82c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d0d7e6e080dc0edb7ca00eaa6534436d8cef0a73f5b9ef59474bf924bd19af",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-09-25T09:35:00Z",
    "title_canon_sha256": "53118ba89c02c8597a3dac8a405f4d8598864d50f0b99b3a2e77a90305937e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4999",
    "kind": "arxiv",
    "version": 1
  }
}