Pith Number

pith:HZTFBCFD

pith:2010:HZTFBCFD3MHGRD2YRE2WPXMFGP

not attested not anchored not stored refs pending

Embedding Theorems for M\"untz spaces

Dan Timotin, Emmanuel Fricain (ICJ), Isabelle Chalendar (ICJ)

arxiv:1001.3013 v1 · 2010-01-18 · 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{HZTFBCFD3MHGRD2YRE2WPXMFGP}

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	2026-05-18T02:59:06.915674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e665088a3db0e688f58893567dd8533d8c72cf1d5db978b740ddb4de40557c5

Aliases

arxiv: 1001.3013 · arxiv_version: 1001.3013v1 · doi: 10.48550/arxiv.1001.3013 · pith_short_12: HZTFBCFD3MHG · pith_short_16: HZTFBCFD3MHGRD2Y · pith_short_8: HZTFBCFD

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/HZTFBCFD3MHGRD2YRE2WPXMFGP \
  | 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: 3e665088a3db0e688f58893567dd8533d8c72cf1d5db978b740ddb4de40557c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03c02920ead89efc7f6ef135a4c00c818c21a577de1de0304e9a5cc157cdd10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-18T10:43:15Z",
    "title_canon_sha256": "03a9049a4f2fab3cf941fb3ddfd6ff9e21da037fc799ff96874fcda8dd86a12a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3013",
    "kind": "arxiv",
    "version": 1
  }
}