Pith Number

pith:O5RXMQ5M

pith:2011:O5RXMQ5MISTHCBWFPI2SNYSSIO

not attested not anchored not stored refs pending

Generalizing the variational theory on time scales to include the delta indefinite integral

Delfim F. M. Torres, Natalia Martins

arxiv:1102.3727 v1 · 2011-02-18 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5RXMQ5MISTHCBWFPI2SNYSSIO}

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	2026-05-18T04:23:21.011838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77637643ac44a67106c57a3526e25243974c60a20e23036b69cb0bae5ba928d1

Aliases

arxiv: 1102.3727 · arxiv_version: 1102.3727v1 · doi: 10.48550/arxiv.1102.3727 · pith_short_12: O5RXMQ5MISTH · pith_short_16: O5RXMQ5MISTHCBWF · pith_short_8: O5RXMQ5M

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/O5RXMQ5MISTHCBWFPI2SNYSSIO \
  | 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: 77637643ac44a67106c57a3526e25243974c60a20e23036b69cb0bae5ba928d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a79845bc245c9f8e34e9c50c83c33c0a2484f439eb7ea0f083b34b8848876695",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-02-18T01:09:25Z",
    "title_canon_sha256": "c7ad99f588c60168a8acf28201dabdfd9b0ed46a26a3990c652e965aab97fa52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3727",
    "kind": "arxiv",
    "version": 1
  }
}