Pith Number

pith:2MQ3CONE

pith:2017:2MQ3CONEAT3SLCTNMPOUCFB6IV

not attested not anchored not stored refs pending

On the distance between homotopy classes in $W^{1/p,p}({\mathbb S}^1;{\mathbb S}^1)$

Itai Shafrir

arxiv:1707.05764 v2 · 2017-07-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MQ3CONEAT3SLCTNMPOUCFB6IV}

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	2026-05-18T00:27:00.402745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d321b139a404f7258a6d63dd41143e45597c54e740b6f4a040ad3a274ca667c5

Aliases

arxiv: 1707.05764 · arxiv_version: 1707.05764v2 · doi: 10.48550/arxiv.1707.05764 · pith_short_12: 2MQ3CONEAT3S · pith_short_16: 2MQ3CONEAT3SLCTN · pith_short_8: 2MQ3CONE

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/2MQ3CONEAT3SLCTNMPOUCFB6IV \
  | 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: d321b139a404f7258a6d63dd41143e45597c54e740b6f4a040ad3a274ca667c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db5c39efe8468daf852576a5c0a2ef7c5bb6917709f7a3cc2a6430f1360158c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-18T17:47:38Z",
    "title_canon_sha256": "ef32ca04cbcc43930654972a5d515f437be4a75fc78bff5bc866015bbe8a28e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05764",
    "kind": "arxiv",
    "version": 2
  }
}