Pith Number

pith:4YYM7CB4

pith:2011:4YYM7CB44LW3YHYZEMOCIIX2VX

not attested not anchored not stored refs pending

On Multiplicative Maps of Continuous and Smooth Functions

Dmitry Faifman, Shiri Artstein-Avidan, Vitali Milman

arxiv:1111.4658 v1 · 2011-11-20 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YYM7CB44LW3YHYZEMOCIIX2VX}

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	2026-05-18T04:08:02.889907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e630cf883ce2edbc1f19231c2422faadc811fcd8a3e662434cfe0853fe5c93db

Aliases

arxiv: 1111.4658 · arxiv_version: 1111.4658v1 · doi: 10.48550/arxiv.1111.4658 · pith_short_12: 4YYM7CB44LW3 · pith_short_16: 4YYM7CB44LW3YHYZ · pith_short_8: 4YYM7CB4

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/4YYM7CB44LW3YHYZEMOCIIX2VX \
  | 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: e630cf883ce2edbc1f19231c2422faadc811fcd8a3e662434cfe0853fe5c93db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721a1fe47358c5fa8c43eece1404dc8471c8156b5f7240518b2523bc80c7fa6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-20T18:21:59Z",
    "title_canon_sha256": "906af76145910c22d4298ecf3258dc8df1a61d0a43ca9a22e7dd7d2508cc116f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4658",
    "kind": "arxiv",
    "version": 1
  }
}