Pith Number

pith:NQX4CLSZ

pith:2013:NQX4CLSZGFW24U63RLQKMJYF5X

not attested not anchored not stored refs pending

Colombeau Algebra: A pedagogical introduction

Jonathan Gratus

arxiv:1308.0257 v1 · 2013-08-01 · 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{NQX4CLSZGFW24U63RLQKMJYF5X}

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.

Cited by

2 papers in Pith

Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework

Asymptotically Z-stable bundles over projective surfaces

Receipt and verification

First computed	2026-05-18T03:16:59.440120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c2fc12e59316dae53db8ae0a62705edfff887598815da788f9888900fd592ee

Aliases

arxiv: 1308.0257 · arxiv_version: 1308.0257v1 · doi: 10.48550/arxiv.1308.0257 · pith_short_12: NQX4CLSZGFW2 · pith_short_16: NQX4CLSZGFW24U63 · pith_short_8: NQX4CLSZ

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/NQX4CLSZGFW24U63RLQKMJYF5X \
  | 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: 6c2fc12e59316dae53db8ae0a62705edfff887598815da788f9888900fd592ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4969737898cf1346bc8fc4e918d24fafcc1c19e12d8227765991cfc44d1df895",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-01T16:18:09Z",
    "title_canon_sha256": "8b22bfa77d818c40743a63a7e915d6f4262a5f7f07848cfb9d8453fed0f6ebe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0257",
    "kind": "arxiv",
    "version": 1
  }
}