Pith Number

pith:YDRNI5DS

pith:2014:YDRNI5DSCQ2LVNFUSMF7MO4EKF

not attested not anchored not stored refs pending

The Hofer norm of a contactomorphism

Egor Shelukhin

arxiv:1411.1457 v3 · 2014-11-06 · 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{YDRNI5DSCQ2LVNFUSMF7MO4EKF}

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	2026-05-18T01:29:38.420691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0e2d474721434bab4b4930bf63b8451578e7ece22d0949e3fab19612270ca0f

Aliases

arxiv: 1411.1457 · arxiv_version: 1411.1457v3 · doi: 10.48550/arxiv.1411.1457 · pith_short_12: YDRNI5DSCQ2L · pith_short_16: YDRNI5DSCQ2LVNFU · pith_short_8: YDRNI5DS

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/YDRNI5DSCQ2LVNFUSMF7MO4EKF \
  | 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: c0e2d474721434bab4b4930bf63b8451578e7ece22d0949e3fab19612270ca0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c893c2e96f78872a5aff526378adf79e08271adff5238356c0f9ad1b1a66fd74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-11-06T00:09:11Z",
    "title_canon_sha256": "a512cf7e2ec57ed60f18405eab9ff6965237a86aed833bee9b712b2884b6c52f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1457",
    "kind": "arxiv",
    "version": 3
  }
}