Pith Number

pith:XINZU3TN

pith:2011:XINZU3TN62U46PNHHCR55WMVDQ

not attested not anchored not stored refs pending

Topics on nonlinear generalized functions

J.F. Colombeau

arxiv:1105.4457 v1 · 2011-05-23 · 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{XINZU3TN62U46PNHHCR55WMVDQ}

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	2026-05-18T04:21:29.249540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1b9a6e6df6a9cf3da738a3ded9951c3b36646e3d398b97643b14416aad2177

Aliases

arxiv: 1105.4457 · arxiv_version: 1105.4457v1 · doi: 10.48550/arxiv.1105.4457 · pith_short_12: XINZU3TN62U4 · pith_short_16: XINZU3TN62U46PNH · pith_short_8: XINZU3TN

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/XINZU3TN62U46PNHHCR55WMVDQ \
  | 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: ba1b9a6e6df6a9cf3da738a3ded9951c3b36646e3d398b97643b14416aad2177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "875ea90031236f11bb3d90e66523417674210273e833129faf461fe94b37c316",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-23T10:16:30Z",
    "title_canon_sha256": "e2f9690f93601d7e8c746ce3aebb9d1b51dc2cbb6a0085262bc398f6c116d824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4457",
    "kind": "arxiv",
    "version": 1
  }
}