Pith Number

pith:DCIUD6NA

pith:2016:DCIUD6NASIOQOO4TMTJAGKTO7H

not attested not anchored not stored refs pending

On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus

Egor Shelukhin, Jarek Kedra, Michael Brandenbursky

arxiv:1602.03287 v2 · 2016-02-10 · math.SG · math.GR · 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{DCIUD6NASIOQOO4TMTJAGKTO7H}

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	2026-05-18T01:20:49.973885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

189141f9a0921d073b9364d2032a6ef9d676463438038682bc4465637da559a4

Aliases

arxiv: 1602.03287 · arxiv_version: 1602.03287v2 · doi: 10.48550/arxiv.1602.03287 · pith_short_12: DCIUD6NASIOQ · pith_short_16: DCIUD6NASIOQOO4T · pith_short_8: DCIUD6NA

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/DCIUD6NASIOQOO4TMTJAGKTO7H \
  | 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: 189141f9a0921d073b9364d2032a6ef9d676463438038682bc4465637da559a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c37a70cafec35a048fcbf6970f2e3efa78442be3f4419bb56b89b07f9aea9598",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-02-10T07:29:21Z",
    "title_canon_sha256": "ef59c54a6558944971f5a32b8d411e71570e7083b3c85fc9e5207e1b139a689d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03287",
    "kind": "arxiv",
    "version": 2
  }
}