Pith Number

pith:2W62WOHM

pith:2022:2W62WOHMWFOM7CE6ETSM52SIQM

not attested not anchored not stored refs pending

Fixed points of enriched contraction mappings in 2-normed spaces

Mujahid Abbas, Rizwan Anjum

arxiv:2209.12503 v1 · 2022-09-26 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2W62WOHMWFOM7CE6ETSM52SIQM}

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	2026-07-05T05:00:53.276792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5bdab38ecb15ccf889e24e4ceea48833f1a68d27197d343130b5b910010cdaa

Aliases

arxiv: 2209.12503 · arxiv_version: 2209.12503v1 · doi: 10.48550/arxiv.2209.12503 · pith_short_12: 2W62WOHMWFOM · pith_short_16: 2W62WOHMWFOM7CE6 · pith_short_8: 2W62WOHM

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/2W62WOHMWFOM7CE6ETSM52SIQM \
  | 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: d5bdab38ecb15ccf889e24e4ceea48833f1a68d27197d343130b5b910010cdaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f07bde0f281a3239b2a5e3094865e7c39c60707e3bd4cc42ca86272f10c0969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-09-26T08:24:49Z",
    "title_canon_sha256": "50c47ace175868b836978705ca65e1bffd34975ff62247489967f374e82b3046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12503",
    "kind": "arxiv",
    "version": 1
  }
}