Pith Number

pith:TCOUVGCH

pith:2012:TCOUVGCHU7KKC5P3QLIPT3L4LO

not attested not anchored not stored refs pending

Fixed point theorems for noncommutative functions

Dmitry S. Kaliuzhnyi-Verbovetskyi, Gulnara Abduvalieva

arxiv:1204.5199 v2 · 2012-04-23 · 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{TCOUVGCHU7KKC5P3QLIPT3L4LO}

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	2026-05-18T03:42:46.077467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

989d4a9847a7d4a175fb82d0f9ed7c5b8733c293cc96213afcff992a6fc4dc92

Aliases

arxiv: 1204.5199 · arxiv_version: 1204.5199v2 · doi: 10.48550/arxiv.1204.5199 · pith_short_12: TCOUVGCHU7KK · pith_short_16: TCOUVGCHU7KKC5P3 · pith_short_8: TCOUVGCH

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/TCOUVGCHU7KKC5P3QLIPT3L4LO \
  | 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: 989d4a9847a7d4a175fb82d0f9ed7c5b8733c293cc96213afcff992a6fc4dc92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d73bd8f6c5bd20a0eec0b89021e0243914d6f1f2ec8c9b68c785cea89c80d24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-23T20:17:34Z",
    "title_canon_sha256": "714291abc2e3d6ad441d0d4dd5306c55dd0f0222bbffae076ef8ea75db302cac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5199",
    "kind": "arxiv",
    "version": 2
  }
}