Pith Number

pith:PF3B2XRU

pith:2018:PF3B2XRU6QMK44CALA4DCTUUFX

not attested not anchored not stored refs pending

Contractively embedded invariant subspaces

Jaydeb Sarkar, Sushil Gorai

arxiv:1803.09073 v1 · 2018-03-24 · math.FA · math.CV · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PF3B2XRU6QMK44CALA4DCTUUFX}

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	2026-05-18T00:20:12.697333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79761d5e34f418ae70405838314e942deae79a3f318a2c50485ebdc7defe491d

Aliases

arxiv: 1803.09073 · arxiv_version: 1803.09073v1 · doi: 10.48550/arxiv.1803.09073 · pith_short_12: PF3B2XRU6QMK · pith_short_16: PF3B2XRU6QMK44CA · pith_short_8: PF3B2XRU

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/PF3B2XRU6QMK44CALA4DCTUUFX \
  | 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: 79761d5e34f418ae70405838314e942deae79a3f318a2c50485ebdc7defe491d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b9e4f9107ffff5f1b47fdecb385212d3af287b7603d82ef49edfdc9ccacec5",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-24T08:10:00Z",
    "title_canon_sha256": "0483bbbdd117993b0e023cea349e22ebae7ffa82a308870b504337111d859a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09073",
    "kind": "arxiv",
    "version": 1
  }
}