Pith Number

pith:HI3TXTOZ

pith:2012:HI3TXTOZ3JKAFEEHY3FBO2XHG2

not attested not anchored not stored refs pending

Algebraic Reflexivity of the set of n-Isometries on C(X,E)

A. B. Abubaker

arxiv:1204.2057 v2 · 2012-04-10 · 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{HI3TXTOZ3JKAFEEHY3FBO2XHG2}

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	2026-05-18T03:54:59.990745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a373bcdd9da54029087c6ca176ae736a80abc7e734397854d383388e876f8a7

Aliases

arxiv: 1204.2057 · arxiv_version: 1204.2057v2 · doi: 10.48550/arxiv.1204.2057 · pith_short_12: HI3TXTOZ3JKA · pith_short_16: HI3TXTOZ3JKAFEEH · pith_short_8: HI3TXTOZ

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/HI3TXTOZ3JKAFEEHY3FBO2XHG2 \
  | 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: 3a373bcdd9da54029087c6ca176ae736a80abc7e734397854d383388e876f8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6549d165c32a0343cc3dc010443ecbd8fdcb7c07b362badc28cdfbe027358791",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-10T06:58:23Z",
    "title_canon_sha256": "8ce5ceccb9f231cd5312d31c4979ab69dc6a2a7272ac2d302e81d314cee3de92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2057",
    "kind": "arxiv",
    "version": 2
  }
}