Pith Number

pith:B6C7GUH4

pith:2010:B6C7GUH4VTOVVJBMAYZUW6DKFB

not attested not anchored not stored refs pending

Change of variable in Riemann integration revisited

Rodrigo L\'opez Pouso

arxiv:1010.0554 v3 · 2010-10-04 · 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{B6C7GUH4VTOVVJBMAYZUW6DKFB}

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	2026-05-18T03:28:17.790350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f85f350fcacdd5aa42c06334b786a284ad7aa56d6e1bd9093adbbfa582ad07d

Aliases

arxiv: 1010.0554 · arxiv_version: 1010.0554v3 · doi: 10.48550/arxiv.1010.0554 · pith_short_12: B6C7GUH4VTOV · pith_short_16: B6C7GUH4VTOVVJBM · pith_short_8: B6C7GUH4

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/B6C7GUH4VTOVVJBMAYZUW6DKFB \
  | 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: 0f85f350fcacdd5aa42c06334b786a284ad7aa56d6e1bd9093adbbfa582ad07d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8620993563568b211efd8eeb42dcdce762ee38f1a98cc73b2ea9fe84a174d513",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-04T11:56:10Z",
    "title_canon_sha256": "914ed3d52cdca38d728b710d2de15767683e950cc2e541de5513fd11fa77a2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0554",
    "kind": "arxiv",
    "version": 3
  }
}