Pith Number

pith:MF32X5YV

pith:2012:MF32X5YVF6MZIY4BDQ5QLHGXES

not attested not anchored not stored refs pending

Hyperbolic Fixed Points and Periodic Orbits of Hamiltonian Diffeomorphisms

Basak Z. Gurel, Viktor L. Ginzburg

arxiv:1208.1733 v1 · 2012-08-08 · math.SG · 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{MF32X5YVF6MZIY4BDQ5QLHGXES}

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	2026-05-18T02:29:32.589048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6177abf7152f999463811c3b059cd72499bfa2e4ec1c0cf99f30931e9c44155c

Aliases

arxiv: 1208.1733 · arxiv_version: 1208.1733v1 · doi: 10.48550/arxiv.1208.1733 · pith_short_12: MF32X5YVF6MZ · pith_short_16: MF32X5YVF6MZIY4B · pith_short_8: MF32X5YV

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/MF32X5YVF6MZIY4BDQ5QLHGXES \
  | 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: 6177abf7152f999463811c3b059cd72499bfa2e4ec1c0cf99f30931e9c44155c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa97fa9a5a2fec19a7119a452188a3ce186645a1975ff45820df29cd31bf6b3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-08-08T18:49:48Z",
    "title_canon_sha256": "60cfbc1884b4071975fb20d18d83af738f4c3b0562bf2a1d200f67469ab5c28b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1733",
    "kind": "arxiv",
    "version": 1
  }
}