Pith Number

pith:VMZALS5V

pith:2016:VMZALS5VTTSUXX3EIBWLMWLGK6

not attested not anchored not stored refs pending

On ultradifferentiable functions

J\"urgen P\"oschel

arxiv:1605.07528 v6 · 2016-05-24 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMZALS5VTTSUXX3EIBWLMWLGK6}

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	2026-05-18T00:50:57.084181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab3205cbb59ce54bdf64406cb659665782b12e282f2f940cf089abd6c1f600e5

Aliases

arxiv: 1605.07528 · arxiv_version: 1605.07528v6 · doi: 10.48550/arxiv.1605.07528 · pith_short_12: VMZALS5VTTSU · pith_short_16: VMZALS5VTTSUXX3E · pith_short_8: VMZALS5V

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/VMZALS5VTTSUXX3EIBWLMWLGK6 \
  | 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: ab3205cbb59ce54bdf64406cb659665782b12e282f2f940cf089abd6c1f600e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e3528231f91664a5500d4a634ad7f9d47f33e175f8f10e166a2710bbb542ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-24T16:18:08Z",
    "title_canon_sha256": "408ca7414ec6f4b47c3ba67c88a9d09a72b2814203c3574d9b2b729b8367cd36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07528",
    "kind": "arxiv",
    "version": 6
  }
}