Pith Number

pith:Y7DFYT6H

pith:2015:Y7DFYT6HSHHKUD34PUR4P3K46V

not attested not anchored not stored refs pending

Dual maps and the Dunford-Pettis property

Alejandro Miralles, Daniele Puglisi, Francisco J. Garc\'ia-Pacheco

arxiv:1510.01531 v1 · 2015-10-06 · 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{Y7DFYT6HSHHKUD34PUR4P3K46V}

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	2026-05-18T01:30:56.709966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c65c4fc791ceaa0f7c7d23c7ed5cf5455b8639a0bd9759482f5e856a1be701

Aliases

arxiv: 1510.01531 · arxiv_version: 1510.01531v1 · doi: 10.48550/arxiv.1510.01531 · pith_short_12: Y7DFYT6HSHHK · pith_short_16: Y7DFYT6HSHHKUD34 · pith_short_8: Y7DFYT6H

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/Y7DFYT6HSHHKUD34PUR4P3K46V \
  | 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: c7c65c4fc791ceaa0f7c7d23c7ed5cf5455b8639a0bd9759482f5e856a1be701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c936536ce0b0f83d8e02f012f4b22d443a576542bc2070182af82f1a30beb792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-06T11:21:26Z",
    "title_canon_sha256": "76252aed6931487f7cad9d5854ceb49e727c0ccdf22d50cb27d51d87a470c049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01531",
    "kind": "arxiv",
    "version": 1
  }
}