Pith Number

pith:CZHBR4AK

pith:2011:CZHBR4AK6FOCPKGS2JRNFO5RE4

not attested not anchored not stored refs pending

On the gauge structure of the calculus of variations with constraints

Danilo Bruno, Enrico Pagani, Gianvittorio Luria

arxiv:1101.5045 v1 · 2011-01-26 · 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{CZHBR4AK6FOCPKGS2JRNFO5RE4}

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	2026-05-18T03:43:07.748745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164e18f00af15c27a8d2d262d2bbb12723bffd6751577065206c4d46162f920e

Aliases

arxiv: 1101.5045 · arxiv_version: 1101.5045v1 · doi: 10.48550/arxiv.1101.5045 · pith_short_12: CZHBR4AK6FOC · pith_short_16: CZHBR4AK6FOCPKGS · pith_short_8: CZHBR4AK

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/CZHBR4AK6FOCPKGS2JRNFO5RE4 \
  | 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: 164e18f00af15c27a8d2d262d2bbb12723bffd6751577065206c4d46162f920e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b2ffeab1193deceee0c04239caa9827d51d8a06a805f01f1b8038ed470bb63",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-26T12:57:29Z",
    "title_canon_sha256": "0fce4f2539e93d10fd221e3a8cc558aa7a8475981b00ce114e8d9cd63c189f33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5045",
    "kind": "arxiv",
    "version": 1
  }
}