Pith Number

pith:O2PNS7G6

pith:2015:O2PNS7G6M4XEW53CHMNRFZFEWT

not attested not anchored not stored refs pending

Regularity lemmas in a Banach space setting

Guus Regts

arxiv:1502.04849 v3 · 2015-02-17 · math.CO · 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{O2PNS7G6M4XEW53CHMNRFZFEWT}

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	2026-05-18T01:40:58.963989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

769ed97cde672e4b77623b1b12e4a4b4e6c2cf18c049c42fc4cd1ce8f4311453

Aliases

arxiv: 1502.04849 · arxiv_version: 1502.04849v3 · doi: 10.48550/arxiv.1502.04849 · pith_short_12: O2PNS7G6M4XE · pith_short_16: O2PNS7G6M4XEW53C · pith_short_8: O2PNS7G6

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/O2PNS7G6M4XEW53CHMNRFZFEWT \
  | 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: 769ed97cde672e4b77623b1b12e4a4b4e6c2cf18c049c42fc4cd1ce8f4311453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe17a7b6d89f4045f33a445d9fd9cc3f1c9f08d43429dde77e40c28b1a67c82e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-17T10:22:11Z",
    "title_canon_sha256": "e174d1df0f48e01594441a1c264548a522db871255d221e8f9fdc49ac313505e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04849",
    "kind": "arxiv",
    "version": 3
  }
}