Pith Number

pith:CESZLMPG

pith:2008:CESZLMPGW6YJOHBKF5SIFK6XRA

not attested not anchored not stored refs pending

Local inverses of shift maps along orbits of flows

Sergiy Maksymenko

arxiv:0806.1502 v4 · 2008-06-09 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CESZLMPGW6YJOHBKF5SIFK6XRA}

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	2026-05-18T01:23:48.570798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

112595b1e6b7b0971c2a2f6482abd78821d9bf96bf294d4e680edef8a7102623

Aliases

arxiv: 0806.1502 · arxiv_version: 0806.1502v4 · doi: 10.48550/arxiv.0806.1502 · pith_short_12: CESZLMPGW6YJ · pith_short_16: CESZLMPGW6YJOHBK · pith_short_8: CESZLMPG

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/CESZLMPGW6YJOHBKF5SIFK6XRA \
  | 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: 112595b1e6b7b0971c2a2f6482abd78821d9bf96bf294d4e680edef8a7102623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a562ec374fdddcea335eca54f65406b4f2c1832161c14cd97837d1fb78a0194",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-06-09T17:36:44Z",
    "title_canon_sha256": "8c0f8f17670319b4e853999bea8ab802a6a321bac1648ebb3d6a24ea560061b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1502",
    "kind": "arxiv",
    "version": 4
  }
}