Pith Number

pith:ASZJND23

pith:2019:ASZJND23RF2MCHSOIUDUJE3NKV

not attested not anchored not stored refs pending

On weaving frames in Hilbert spaces

Dongwei Li

arxiv:1901.01360 v1 · 2019-01-05 · 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{ASZJND23RF2MCHSOIUDUJE3NKV}

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	2026-05-17T23:56:52.136292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b2968f5b8974c11e4e450744936d5577abdabbd4cdbd149c5fd0a01a0e746e

Aliases

arxiv: 1901.01360 · arxiv_version: 1901.01360v1 · doi: 10.48550/arxiv.1901.01360 · pith_short_12: ASZJND23RF2M · pith_short_16: ASZJND23RF2MCHSO · pith_short_8: ASZJND23

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/ASZJND23RF2MCHSOIUDUJE3NKV \
  | 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: 04b2968f5b8974c11e4e450744936d5577abdabbd4cdbd149c5fd0a01a0e746e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "048d5b27feaf3698402f6f6f44950f2af6e49aadb41dd20808b000d74641ce7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-05T03:46:23Z",
    "title_canon_sha256": "e1ca54328d1afb9e19f0148a4a2dbde9eb6a0028512e40773b2f94e210b055b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01360",
    "kind": "arxiv",
    "version": 1
  }
}