Pith Number

pith:4PHNIL63

pith:2019:4PHNIL634C2IKTJVYESXMSW53U

not attested not anchored not stored refs pending

Quasimorphisms on surfaces and continuity in the Hofer norm

Michael Khanevsky

arxiv:1906.08429 v1 · 2019-06-20 · 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{4PHNIL634C2IKTJVYESXMSW53U}

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	2026-05-17T23:42:52.498024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ced42fdbe0b4854d35c125764adddd21a8579419b4973d8672844b90bd98fa

Aliases

arxiv: 1906.08429 · arxiv_version: 1906.08429v1 · doi: 10.48550/arxiv.1906.08429 · pith_short_12: 4PHNIL634C2I · pith_short_16: 4PHNIL634C2IKTJV · pith_short_8: 4PHNIL63

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/4PHNIL634C2IKTJVYESXMSW53U \
  | 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: e3ced42fdbe0b4854d35c125764adddd21a8579419b4973d8672844b90bd98fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce811eae63c36aaf88dae95b3948d6fa20610ee66585af6cb04c39132748be1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2019-06-20T03:25:59Z",
    "title_canon_sha256": "d886b08da446db3e8b7b3fbf2d080f5c27a7a36a8c63883bb8a5933de01e5327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08429",
    "kind": "arxiv",
    "version": 1
  }
}