Pith Number

pith:S3XCRMLL

pith:2018:S3XCRMLLPX4I5VQ6LORNGNACRR

not attested not anchored not stored refs pending

Probabilistic Stable Functions on Discrete Cones are Power Series (long version)

Rapha\"elle Crubill\'e

arxiv:1805.00512 v1 · 2018-05-01 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3XCRMLLPX4I5VQ6LORNGNACRR}

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	2026-05-18T00:16:58.648756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96ee28b16b7df88ed61e5ba2d334028c57b2d098831af4038560a96a265e3ec7

Aliases

arxiv: 1805.00512 · arxiv_version: 1805.00512v1 · doi: 10.48550/arxiv.1805.00512 · pith_short_12: S3XCRMLLPX4I · pith_short_16: S3XCRMLLPX4I5VQ6 · pith_short_8: S3XCRMLL

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/S3XCRMLLPX4I5VQ6LORNGNACRR \
  | 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: 96ee28b16b7df88ed61e5ba2d334028c57b2d098831af4038560a96a265e3ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "018b322d552c4a8136e6d8fea3c92548c0c7abeb1c64746a142775d3dbb14d3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2018-05-01T18:51:53Z",
    "title_canon_sha256": "bba05c8624fbd10a6a5b62e2cbbbe7045381a60d8f238923e001ccb21f71e48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00512",
    "kind": "arxiv",
    "version": 1
  }
}