Pith Number

pith:TDR3OTCO

pith:2014:TDR3OTCOPL32DVT47HVTXWO6GS

not attested not anchored not stored refs pending

Wiener criterion for X-elliptic operators

Francesco Uguzzoni, Giulio Tralli

arxiv:1408.6789 v1 · 2014-08-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDR3OTCOPL32DVT47HVTXWO6GS}

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	2026-05-18T02:44:00.875132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e3b74c4e7af7a1d67cf9eb3bd9de34baacb3353d05d6d116f0e314340f24bc

Aliases

arxiv: 1408.6789 · arxiv_version: 1408.6789v1 · doi: 10.48550/arxiv.1408.6789 · pith_short_12: TDR3OTCOPL32 · pith_short_16: TDR3OTCOPL32DVT4 · pith_short_8: TDR3OTCO

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/TDR3OTCOPL32DVT47HVTXWO6GS \
  | 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: 98e3b74c4e7af7a1d67cf9eb3bd9de34baacb3353d05d6d116f0e314340f24bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515a0f22e8692102e4e745a5c3b9569525757ccf61a01e2c010a817835d0a33f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-28T17:33:12Z",
    "title_canon_sha256": "6c9e590dbc15b62e6bacaaa4cf8ba483fa17376b4c8481f3bffbe6bc858b9102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6789",
    "kind": "arxiv",
    "version": 1
  }
}