Pith Number

pith:2TOIBGXZ

pith:2017:2TOIBGXZOCO7RLVBWMRL6HKJFG

not attested not anchored not stored refs pending

Equivalence between estimates for quasi-commutators and commutators

Hans Zwart

arxiv:1701.07310 v1 · 2017-01-25 · 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{2TOIBGXZOCO7RLVBWMRL6HKJFG}

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	2026-05-18T00:52:04.963607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4dc809af9709df8aea1b322bf1d4929ab29af86459ccfe1f772ee66a5be03a1

Aliases

arxiv: 1701.07310 · arxiv_version: 1701.07310v1 · doi: 10.48550/arxiv.1701.07310 · pith_short_12: 2TOIBGXZOCO7 · pith_short_16: 2TOIBGXZOCO7RLVB · pith_short_8: 2TOIBGXZ

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/2TOIBGXZOCO7RLVBWMRL6HKJFG \
  | 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: d4dc809af9709df8aea1b322bf1d4929ab29af86459ccfe1f772ee66a5be03a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33722aff1992fd016081fab7bdfe5ba4e93fc723802f1b517171a9992bed891f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-25T13:53:59Z",
    "title_canon_sha256": "89531a16b36984959c30978bfaf32ee06cbcedbaaa371afbc6e61818547e616b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07310",
    "kind": "arxiv",
    "version": 1
  }
}