Pith Number

pith:WXU4FD4L

pith:2011:WXU4FD4LP33523Y6KIUFZJJTSF

not attested not anchored not stored refs pending

Hofer's norm and disk translations in an annulus

Michael Khanevsky

arxiv:1111.1923 v1 · 2011-11-08 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXU4FD4LP33523Y6KIUFZJJTSF}

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	2026-05-18T04:09:24.400792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e9c28f8b7ef7dd6f1e52285ca533915ec624f6191d6fc3c88e23744a28b1f4

Aliases

arxiv: 1111.1923 · arxiv_version: 1111.1923v1 · doi: 10.48550/arxiv.1111.1923 · pith_short_12: WXU4FD4LP335 · pith_short_16: WXU4FD4LP33523Y6 · pith_short_8: WXU4FD4L

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/WXU4FD4LP33523Y6KIUFZJJTSF \
  | 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: b5e9c28f8b7ef7dd6f1e52285ca533915ec624f6191d6fc3c88e23744a28b1f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114aa2737a7a424fc9eac1f1a8d5151dfe148754f57fa45f28c3121155a0a3ce",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-11-08T14:46:06Z",
    "title_canon_sha256": "a9ce78ac87242ede201c63348cbeb87e45275932df1902088cbac452588af0c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1923",
    "kind": "arxiv",
    "version": 1
  }
}