Pith Number

pith:PD7NHA4I

pith:2015:PD7NHA4IRX2XPRTPPF4LPF2UFC

not attested not anchored not stored refs pending

A Schauder basis for $L_1(0,\infty)$ consisting of non-negative functions

Gideon Schechtman, William B. Johnson

arxiv:1502.07557 v1 · 2015-02-26 · 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{PD7NHA4IRX2XPRTPPF4LPF2UFC}

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	2026-05-18T02:26:03.367399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78fed383888df577c66f7978b797542896ffc2a7dfae956671028df53d15bda1

Aliases

arxiv: 1502.07557 · arxiv_version: 1502.07557v1 · doi: 10.48550/arxiv.1502.07557 · pith_short_12: PD7NHA4IRX2X · pith_short_16: PD7NHA4IRX2XPRTP · pith_short_8: PD7NHA4I

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/PD7NHA4IRX2XPRTPPF4LPF2UFC \
  | 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: 78fed383888df577c66f7978b797542896ffc2a7dfae956671028df53d15bda1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1353f42fbc54eb43c4f002c173352a82da2ee55e558b077b9d0642837d30e6de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-26T14:03:22Z",
    "title_canon_sha256": "b664754d07f5e75f6f52fbfd4def3c6f75f87e6606aeb5184373ede0da6df6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07557",
    "kind": "arxiv",
    "version": 1
  }
}