Pith Number

pith:6GN3C4PL

pith:2016:6GN3C4PLQ42Q4B7GPUNK2DWEJQ

not attested not anchored not stored refs pending

Operators on Bourgain-Delbaen's spaces

Daniele Puglisi

arxiv:1609.03270 v1 · 2016-09-12 · 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{6GN3C4PLQ42Q4B7GPUNK2DWEJQ}

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	2026-05-18T00:19:31.155828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19bb171eb87350e07e67d1aad0ec44c091b3adc8fb41bddefd64203ef803826

Aliases

arxiv: 1609.03270 · arxiv_version: 1609.03270v1 · doi: 10.48550/arxiv.1609.03270 · pith_short_12: 6GN3C4PLQ42Q · pith_short_16: 6GN3C4PLQ42Q4B7G · pith_short_8: 6GN3C4PL

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/6GN3C4PLQ42Q4B7GPUNK2DWEJQ \
  | 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: f19bb171eb87350e07e67d1aad0ec44c091b3adc8fb41bddefd64203ef803826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb24b6caa68cc3205cb045612ac09ef548daef2ab16dfee8e8ea95b4727aa746",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-12T05:34:21Z",
    "title_canon_sha256": "b73a8b2aede6d1a81751df551d399f89c8167f6b7d1b4622236782b350080017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03270",
    "kind": "arxiv",
    "version": 1
  }
}