Pith Number

pith:DJXG4ZWN

pith:2012:DJXG4ZWNBNP3DBSUKXGIKJ2SQN

not attested not anchored not stored refs pending

Monomial expansions of $H_{p}$--functions in infinitely many variables

Andreas Defant, Leonhard Frerick, Manuel Maestre, Pablo Sevilla-Peris

arxiv:1207.2248 v1 · 2012-07-10 · 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{DJXG4ZWNBNP3DBSUKXGIKJ2SQN}

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	2026-05-18T03:51:24.620280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a6e6e66cd0b5fb1865455cc852752834240637638488eb573b1d16251f082b0

Aliases

arxiv: 1207.2248 · arxiv_version: 1207.2248v1 · doi: 10.48550/arxiv.1207.2248 · pith_short_12: DJXG4ZWNBNP3 · pith_short_16: DJXG4ZWNBNP3DBSU · pith_short_8: DJXG4ZWN

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/DJXG4ZWNBNP3DBSUKXGIKJ2SQN \
  | 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: 1a6e6e66cd0b5fb1865455cc852752834240637638488eb573b1d16251f082b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65a8bc491b85e06db13ee7faaa56d65b0dda1595827d348cbc7598bc2d844052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-10T07:31:52Z",
    "title_canon_sha256": "f4fa4477fb4d17381a82005d49e19faa89a22f445e14378dddc38850058cdddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2248",
    "kind": "arxiv",
    "version": 1
  }
}