Pith Number

pith:V2QP6W7S

pith:2026:V2QP6W7SJMTDCFUJ5KD5P6O6SV

not attested not anchored not stored refs pending

Sobolev spaces on snowtrees

Efstathios-Konstantinos Chrontsios-Garitsis, Vyron Vellis

arxiv:2606.30927 v1 · 2026-06-29 · math.MG · math.AP · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2QP6W7SJMTDCFUJ5KD5P6O6SV}

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	2026-07-01T00:17:21.871657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea0ff5bf24b26311689ea87d7f9de954c0fa3e7c1d5813f978070f97313b9d4

Aliases

arxiv: 2606.30927 · arxiv_version: 2606.30927v1 · doi: 10.48550/arxiv.2606.30927 · pith_short_12: V2QP6W7SJMTD · pith_short_16: V2QP6W7SJMTDCFUJ · pith_short_8: V2QP6W7S

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/V2QP6W7SJMTDCFUJ5KD5P6O6SV \
  | 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: aea0ff5bf24b26311689ea87d7f9de954c0fa3e7c1d5813f978070f97313b9d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf2e7bd829e05134ff6094ada56709fa9049387a51baa6e3c7b32872e5136bb",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-06-29T21:21:59Z",
    "title_canon_sha256": "6fd5d60ca6f97fbf0d266637704ad9d734e3f09ed46f070a7861656b7a08f734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30927",
    "kind": "arxiv",
    "version": 1
  }
}