Pith Number

pith:U64IWNBN

pith:2015:U64IWNBN6PW3YV3Q3NSIRHTPWY

not attested not anchored not stored refs pending

Analysis on harmonic extensions of H-type groups

Maria Vallarino

arxiv:1504.00329 v1 · 2015-03-18 · 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{U64IWNBN6PW3YV3Q3NSIRHTPWY}

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	2026-05-18T02:19:44.084930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7b88b342df3edbc5770db64889e6fb60d75606d271b4cca8ef0bf244e6a559b

Aliases

arxiv: 1504.00329 · arxiv_version: 1504.00329v1 · doi: 10.48550/arxiv.1504.00329 · pith_short_12: U64IWNBN6PW3 · pith_short_16: U64IWNBN6PW3YV3Q · pith_short_8: U64IWNBN

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/U64IWNBN6PW3YV3Q3NSIRHTPWY \
  | 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: a7b88b342df3edbc5770db64889e6fb60d75606d271b4cca8ef0bf244e6a559b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a9d5929584f120d884af58f489c29eb2caadd1689b307796f6107ebd872891",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-18T00:13:17Z",
    "title_canon_sha256": "11c412a573949add19b5011153861f280b36b7733f38fe7211f6d96f7abdcb5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00329",
    "kind": "arxiv",
    "version": 1
  }
}