Pith Number

pith:4T37IZXX

pith:2016:4T37IZXX7CAKWV4C55RXGZP4XF

not attested not anchored not stored refs pending

Limited operators and differentiability

Mohammed Bachir

arxiv:1602.04173 v1 · 2016-02-12 · 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{4T37IZXX7CAKWV4C55RXGZP4XF}

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	2026-05-18T01:20:54.362484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f7f466f7f880ab5782ef637365fcb97af57fe591a273492d39d818902d8dc5

Aliases

arxiv: 1602.04173 · arxiv_version: 1602.04173v1 · doi: 10.48550/arxiv.1602.04173 · pith_short_12: 4T37IZXX7CAK · pith_short_16: 4T37IZXX7CAKWV4C · pith_short_8: 4T37IZXX

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/4T37IZXX7CAKWV4C55RXGZP4XF \
  | 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: e4f7f466f7f880ab5782ef637365fcb97af57fe591a273492d39d818902d8dc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef0f4afd9e398c2af1930985dc635ba0c8e0d09f923c4246e7b7157c24b24d96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-12T19:17:02Z",
    "title_canon_sha256": "6b0bfdf09be9545a6039461ba4fbe3ff2e2509176462cf3d43652c7b44f73dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04173",
    "kind": "arxiv",
    "version": 1
  }
}