Pith Number

pith:PJTV3P4T

pith:2008:PJTV3P4TUXOE7R5GBFAUORD3D6

not attested not anchored not stored refs pending

Absolutely summing linear operators into spaces with no finite cotype

Daniel Pellegrino, Geraldo Botelho

arxiv:0801.2051 v1 · 2008-01-14 · 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{PJTV3P4TUXOE7R5GBFAUORD3D6}

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	2026-05-18T01:31:12.212497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a675dbf93a5dc4fc7a6094147447b1fb24edbaeaa63a1d6996664a96904631e

Aliases

arxiv: 0801.2051 · arxiv_version: 0801.2051v1 · doi: 10.48550/arxiv.0801.2051 · pith_short_12: PJTV3P4TUXOE · pith_short_16: PJTV3P4TUXOE7R5G · pith_short_8: PJTV3P4T

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/PJTV3P4TUXOE7R5GBFAUORD3D6 \
  | 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: 7a675dbf93a5dc4fc7a6094147447b1fb24edbaeaa63a1d6996664a96904631e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808963dc1a24a23d8e4421001b5bcd551e569e737a7ebfc8edb3e4400dd43ede",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2008-01-14T11:34:45Z",
    "title_canon_sha256": "acda62edeac7b0332dec3004aa6c91985c53a35df871f9ce39bba11cb66986bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2051",
    "kind": "arxiv",
    "version": 1
  }
}