Pith Number

pith:ECHPP73T

pith:2018:ECHPP73TP7EIN2E66X3R3I2DRN

not attested not anchored not stored refs pending

Weak and weak* $I^K$-convergence in normed spaces

Amar Kumar Banerjee, Mahendranath Paul

arxiv:1811.06707 v1 · 2018-11-16 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECHPP73TP7EIN2E66X3R3I2DRN}

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	2026-05-18T00:00:34.068009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208ef7ff737fc886e89ef5f71da3438b424458d6e22d77f44db10f2ad7f2b81b

Aliases

arxiv: 1811.06707 · arxiv_version: 1811.06707v1 · doi: 10.48550/arxiv.1811.06707 · pith_short_12: ECHPP73TP7EI · pith_short_16: ECHPP73TP7EIN2E6 · pith_short_8: ECHPP73T

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/ECHPP73TP7EIN2E66X3R3I2DRN \
  | 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: 208ef7ff737fc886e89ef5f71da3438b424458d6e22d77f44db10f2ad7f2b81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6395ca68092b52a32d724e35d1aa54d7d9b1d5a1cb2f1ca8228a7bd49b172ff7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-11-16T08:55:00Z",
    "title_canon_sha256": "36097431dae61df44fc2b82b898d63104b4483056c00562ff052393614d70a24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06707",
    "kind": "arxiv",
    "version": 1
  }
}