Pith Number

pith:JEUFAS7V

pith:2025:JEUFAS7V3R54B774SSCRGO32ME

not attested not anchored not stored refs pending

Exploring Integration by Differentiation

C. Vignat, R. D. George

arxiv:2505.22896 v1 · 2025-05-28 · 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{JEUFAS7V3R54B774SSCRGO32ME}

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

1 paper in Pith

Learning from Ramanujan: Elementary Approaches to Profound Ideas

Receipt and verification

First computed	2026-07-05T11:11:51.580421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4928504bf5dc7bc0fffc9485133b7a6128e76d5f443a04a05de404735a673a8c

Aliases

arxiv: 2505.22896 · arxiv_version: 2505.22896v1 · doi: 10.48550/arxiv.2505.22896 · pith_short_12: JEUFAS7V3R54 · pith_short_16: JEUFAS7V3R54B774 · pith_short_8: JEUFAS7V

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/JEUFAS7V3R54B774SSCRGO32ME \
  | 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: 4928504bf5dc7bc0fffc9485133b7a6128e76d5f443a04a05de404735a673a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b806550a4b87f4e365e6dcd1f4e675a1ef3da690f03a5942b7b907150fe7753",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-05-28T22:00:11Z",
    "title_canon_sha256": "2225efeb5433397ba9992111ba769e27cb1eaf5b2b8715e4908c0e1b5c6ac55c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22896",
    "kind": "arxiv",
    "version": 1
  }
}