Pith Number

pith:6HMPQCVW

pith:2019:6HMPQCVWIIE6SQB36N2U4ZTW5W

not attested not anchored not stored refs pending

Functions with ultradifferentiable powers

Vincent Thilliez

arxiv:1909.00177 v1 · 2019-08-31 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HMPQCVWIIE6SQB36N2U4ZTW5W}

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	2026-07-05T00:01:06.427495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d8f80ab64209e9403bf3754e6676edb2dbaebea9a893918fe9bd8840cd6d62

Aliases

arxiv: 1909.00177 · arxiv_version: 1909.00177v1 · doi: 10.48550/arxiv.1909.00177 · pith_short_12: 6HMPQCVWIIE6 · pith_short_16: 6HMPQCVWIIE6SQB3 · pith_short_8: 6HMPQCVW

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/6HMPQCVWIIE6SQB36N2U4ZTW5W \
  | 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: f1d8f80ab64209e9403bf3754e6676edb2dbaebea9a893918fe9bd8840cd6d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "647657eaccaf3d59f79e3a0c5450614cae3fe825a39f63bc480b39bdfff9fefd",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-31T09:36:38Z",
    "title_canon_sha256": "0a49cd0649dc6806178ae96e8221213ecf85a384d4ddb7a56efe1b79c6a4affe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00177",
    "kind": "arxiv",
    "version": 1
  }
}