Pith Number

pith:22XEAVPH

pith:2017:22XEAVPHJ4XJGTDKCGF74CRVMO

not attested not anchored not stored refs pending

The Mazur-Ulam property for the space of complex null sequences

Antonio Jim\'enez-Vargas, Antonio Morales Campoy, Antonio M. Peralta, Mar\'Ia Isabel Ram\'Irez

arxiv:1708.08538 v2 · 2017-08-28 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22XEAVPHJ4XJGTDKCGF74CRVMO}

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	2026-05-18T00:36:01.076487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ae4055e74f2e934c6a118bfe0a35638e83a90aeb48942e491f2a06883dfc50

Aliases

arxiv: 1708.08538 · arxiv_version: 1708.08538v2 · doi: 10.48550/arxiv.1708.08538 · pith_short_12: 22XEAVPHJ4XJ · pith_short_16: 22XEAVPHJ4XJGTDK · pith_short_8: 22XEAVPH

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/22XEAVPHJ4XJGTDKCGF74CRVMO \
  | 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: d6ae4055e74f2e934c6a118bfe0a35638e83a90aeb48942e491f2a06883dfc50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1db1baea0e0bd06938227ffcfefa5a3333255984d578cf88fcd9cdd2375302",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-28T21:45:12Z",
    "title_canon_sha256": "62e5f5b7bfbcaf66dc6f1a9656ee920c7a9de520290f73caf27e5b2533795c34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08538",
    "kind": "arxiv",
    "version": 2
  }
}