Pith Number

pith:7H67XNE3

pith:2017:7H67XNE3KZY3VRV7DDXQIHVFHD

not attested not anchored not stored refs pending

Extremal structure and Duality of Lipschitz free spaces

Abraham Rueda Zoca, Antonin Proch\'azka, Colin Petitjean, Luis Garc\'ia-Lirola

arxiv:1707.09307 v1 · 2017-07-28 · 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{7H67XNE3KZY3VRV7DDXQIHVFHD}

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	2026-05-18T00:39:16.537716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9fdfbb49b5671bac6bf18ef041ea538c8f03da93206a654aab1fe02e9fa4f80

Aliases

arxiv: 1707.09307 · arxiv_version: 1707.09307v1 · doi: 10.48550/arxiv.1707.09307 · pith_short_12: 7H67XNE3KZY3 · pith_short_16: 7H67XNE3KZY3VRV7 · pith_short_8: 7H67XNE3

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/7H67XNE3KZY3VRV7DDXQIHVFHD \
  | 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: f9fdfbb49b5671bac6bf18ef041ea538c8f03da93206a654aab1fe02e9fa4f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50aa20445654a6816254151a4a1c8ee0651f5be86133126daa215ae0a11c4bae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-28T16:21:11Z",
    "title_canon_sha256": "a5a381d212de4634c2bb3fd0bb3133b034f8226ad7048d514d370b4ea1d5719f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09307",
    "kind": "arxiv",
    "version": 1
  }
}