Pith Number

pith:IGLJMYS4

pith:2017:IGLJMYS4AWCETBNI5Z3HFGJU2O

not attested not anchored not stored refs pending

Littlewood-Paley theory for triangle buildings

Bartosz Trojan, Tim Steger

arxiv:1703.00181 v1 · 2017-03-01 · math.FA · 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{IGLJMYS4AWCETBNI5Z3HFGJU2O}

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	2026-05-18T00:20:56.645745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

419696625c05844985a8ee76729934d3833e5237125ffbe359c7ce1c72da8e8a

Aliases

arxiv: 1703.00181 · arxiv_version: 1703.00181v1 · doi: 10.48550/arxiv.1703.00181 · pith_short_12: IGLJMYS4AWCE · pith_short_16: IGLJMYS4AWCETBNI · pith_short_8: IGLJMYS4

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/IGLJMYS4AWCETBNI5Z3HFGJU2O \
  | 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: 419696625c05844985a8ee76729934d3833e5237125ffbe359c7ce1c72da8e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d73b4b75b29a5269d1729caedef54d5f3f30e92af417264a1a739c9aa215305b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-01T08:35:53Z",
    "title_canon_sha256": "856f6fff618e5bf02622c76ead5c09fdbfdfc5c6d39e3ce6a78d83c227fcb371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00181",
    "kind": "arxiv",
    "version": 1
  }
}