Pith Number

pith:WR6YKVOK

pith:2024:WR6YKVOKLFOBDIRK2JCSITW2E4

not attested not anchored not stored refs pending

Non-orderability and the contact Hofer norm

Egor Shelukhin, Jakob Hedicke

arxiv:2411.19887 v2 · 2024-11-29 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WR6YKVOKLFOBDIRK2JCSITW2E4}

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.

Cited by

1 paper in Pith

On weakly exact Lagrangians in Liouville bi-fillings

Receipt and verification

First computed	2026-07-05T10:24:28.081570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b47d8555ca595c11a22ad245244eda2710b23048b4f0e5f12116ad8d319c4824

Aliases

arxiv: 2411.19887 · arxiv_version: 2411.19887v2 · doi: 10.48550/arxiv.2411.19887 · pith_short_12: WR6YKVOKLFOB · pith_short_16: WR6YKVOKLFOBDIRK · pith_short_8: WR6YKVOK

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/WR6YKVOKLFOBDIRK2JCSITW2E4 \
  | 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: b47d8555ca595c11a22ad245244eda2710b23048b4f0e5f12116ad8d319c4824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5760cd4a8f073563473fef4d5a59b11c72fbab501315a6e6705998ce1afbddb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-11-29T17:53:27Z",
    "title_canon_sha256": "d72dd852dc0ffbabe8d063402ead03b66ad37e3ac0a4ddf72c86e6560f0d3595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19887",
    "kind": "arxiv",
    "version": 2
  }
}