Pith Number

pith:HQJHYD3K

pith:2022:HQJHYD3KTWDRPGZWTBLRPVQMRY

not attested not anchored not stored refs pending

Harmonic Bergman projectors on homogeneous trees

Filippo De Mari, Maria Vallarino, Matteo Monti

arxiv:2205.13859 v4 · 2022-05-27 · math.CV · 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{HQJHYD3KTWDRPGZWTBLRPVQMRY}

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	2026-07-05T06:54:59.796636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c127c0f6a9d87179b36985717d60c8e0a157aad96991c9ff9262f005732a37c

Aliases

arxiv: 2205.13859 · arxiv_version: 2205.13859v4 · doi: 10.48550/arxiv.2205.13859 · pith_short_12: HQJHYD3KTWDR · pith_short_16: HQJHYD3KTWDRPGZW · pith_short_8: HQJHYD3K

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/HQJHYD3KTWDRPGZWTBLRPVQMRY \
  | 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: 3c127c0f6a9d87179b36985717d60c8e0a157aad96991c9ff9262f005732a37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f678ea4d6b081d0dadfc370e80760192aa5920446f68185d0bb75652376cfab",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2022-05-27T09:41:14Z",
    "title_canon_sha256": "8275c4452467d65d9ad2e665c25ff70ce7875e966880a76b49cd85cb150a93e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.13859",
    "kind": "arxiv",
    "version": 4
  }
}