Pith Number

pith:7KXZXEQF

pith:2010:7KXZXEQFRVDPYBF4KJ2STAZBOK

not attested not anchored not stored refs pending

Constrained variational calculus: the second variation (part I)

Danilo Bruno, Enrico Massa, Enrico Pagani, Gianvittorio Luria

arxiv:1006.3632 v3 · 2010-06-18 · 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{7KXZXEQFRVDPYBF4KJ2STAZBOK}

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	2026-05-18T03:43:07.822930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faaf9b92058d46fc04bc52752983217295410c696da596d245f97a4537cc9a7b

Aliases

arxiv: 1006.3632 · arxiv_version: 1006.3632v3 · doi: 10.48550/arxiv.1006.3632 · pith_short_12: 7KXZXEQFRVDP · pith_short_16: 7KXZXEQFRVDPYBF4 · pith_short_8: 7KXZXEQF

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/7KXZXEQFRVDPYBF4KJ2STAZBOK \
  | 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: faaf9b92058d46fc04bc52752983217295410c696da596d245f97a4537cc9a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f0d887b4ecc7c675e34e246962c69e1e3544c26811b219f06ed6f1e16d5fac",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-06-18T08:30:25Z",
    "title_canon_sha256": "a2d55e4639253cb60bf5e26cf6a3e7bb82f246a752c66a4ba615cd5749cb1ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3632",
    "kind": "arxiv",
    "version": 3
  }
}