Pith Number

pith:GERNNH3L

pith:2018:GERNNH3LI3LFXD4GV2TGDGKLDS

not attested not anchored not stored refs pending

Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels

Alexandr Valyuzhenich, Sergey Agapov

arxiv:1812.01290 v1 · 2018-12-04 · math.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GERNNH3LI3LFXD4GV2TGDGKLDS}

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	2026-05-17T23:59:12.863887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3122d69f6b46d65b8f86aea661994b1c8b0bbb64dba7849da06838459873aaaa

Aliases

arxiv: 1812.01290 · arxiv_version: 1812.01290v1 · doi: 10.48550/arxiv.1812.01290 · pith_short_12: GERNNH3LI3LF · pith_short_16: GERNNH3LI3LFXD4G · pith_short_8: GERNNH3L

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/GERNNH3LI3LFXD4GV2TGDGKLDS \
  | 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: 3122d69f6b46d65b8f86aea661994b1c8b0bbb64dba7849da06838459873aaaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3491ad21be8e4d999b1f48467259ace6decfda41632f6784e921b2679f41d74",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-04T09:27:27Z",
    "title_canon_sha256": "923a05da49e9cb259e92831f06f052ca2661ee83f91b2c169e965e04ffa76471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01290",
    "kind": "arxiv",
    "version": 1
  }
}