Pith Number

pith:N5M7AJ2Q

pith:2015:N5M7AJ2QCNP72XPX7KWMOM7DH5

not attested not anchored not stored refs pending

Characterization of metric spaces whose free space is isometric to $\ell_1$

Anton\'in Proch\'azka, Aude Dalet, Pedro L. Kaufmann

arxiv:1502.02719 v2 · 2015-02-09 · 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{N5M7AJ2QCNP72XPX7KWMOM7DH5}

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	2026-05-18T01:04:50.660894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f59f02750135ffd5df7faacc733e33f71d2c9a6bff761723a0c847dbabae2a9

Aliases

arxiv: 1502.02719 · arxiv_version: 1502.02719v2 · doi: 10.48550/arxiv.1502.02719 · pith_short_12: N5M7AJ2QCNP7 · pith_short_16: N5M7AJ2QCNP72XPX · pith_short_8: N5M7AJ2Q

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/N5M7AJ2QCNP72XPX7KWMOM7DH5 \
  | 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: 6f59f02750135ffd5df7faacc733e33f71d2c9a6bff761723a0c847dbabae2a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd21de14afd141122e9165f91e934067d5b8d6ca4efd771f7d2773c37e1c37f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-09T22:53:47Z",
    "title_canon_sha256": "0db55c11971d68f958124636380cc04e67eab6201f15d7c7c2a226b68092b13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02719",
    "kind": "arxiv",
    "version": 2
  }
}