Pith Number

pith:PGW2LPMJ

pith:2019:PGW2LPMJE5JMFQCF2ZHORHSAEN

not attested not anchored not stored refs pending

Evaluation of integrals by differentiation with respect to a parameter

Khristo N. Boyadzhiev

arxiv:1901.01249 v1 · 2019-01-04 · math.HO · 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{PGW2LPMJE5JMFQCF2ZHORHSAEN}

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	2026-05-17T23:56:52.364852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ada5bd892752c2c045d64ee89e40235d9a268d4b0bc81dfea9019ac2136743

Aliases

arxiv: 1901.01249 · arxiv_version: 1901.01249v1 · doi: 10.48550/arxiv.1901.01249 · pith_short_12: PGW2LPMJE5JM · pith_short_16: PGW2LPMJE5JMFQCF · pith_short_8: PGW2LPMJ

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/PGW2LPMJE5JMFQCF2ZHORHSAEN \
  | 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: 79ada5bd892752c2c045d64ee89e40235d9a268d4b0bc81dfea9019ac2136743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0f1c1d0c81dbca63d603b539c52c7f47a3ef93157dfc0e26a217df23978491",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-01-04T01:11:12Z",
    "title_canon_sha256": "9207ee4e17102ba7635aa40823baa5b35aaac0f9bb2eb64b5b666adda6b4ebd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01249",
    "kind": "arxiv",
    "version": 1
  }
}