Pith Number

pith:ESTW5CZ4

pith:2011:ESTW5CZ45UCKKR2HXZYWCDAY2B

not attested not anchored not stored refs pending

Backward variational approach on time scales with an action depending on the free endpoints

Agnieszka B. Malinowska, Delfim F. M. Torres

arxiv:1101.0694 v1 · 2011-01-04 · math.OC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESTW5CZ45UCKKR2HXZYWCDAY2B}

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	2026-05-18T02:26:45.753171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24a76e8b3ced04a54747be71610c18d05f5eab1dfcb1fb6cadb7939f4c4c64d7

Aliases

arxiv: 1101.0694 · arxiv_version: 1101.0694v1 · doi: 10.48550/arxiv.1101.0694 · pith_short_12: ESTW5CZ45UCK · pith_short_16: ESTW5CZ45UCKKR2H · pith_short_8: ESTW5CZ4

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/ESTW5CZ45UCKKR2HXZYWCDAY2B \
  | 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: 24a76e8b3ced04a54747be71610c18d05f5eab1dfcb1fb6cadb7939f4c4c64d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c664999c1f64670c237635501d900768a1d0a66f6aaed5f794b92db858be58f6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-01-04T10:28:12Z",
    "title_canon_sha256": "0f5ad465173c70e0c61dfeab522b5798adb51103a28a6a3439e8211e59b3f857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0694",
    "kind": "arxiv",
    "version": 1
  }
}