Pith Number

pith:CRGAUI36

pith:2007:CRGAUI36QLM676KTFSJSIMP3J3

not attested not anchored not stored refs pending

Reduction for constrained variational problems on 3D null curves

Emilio Musso, Lorenzo Nicolodi

arxiv:0710.0483 v1 · 2007-10-02 · math.DG · 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{CRGAUI36QLM676KTFSJSIMP3J3}

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	2026-05-18T02:35:30.233620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

144c0a237e82d9eff9532c932431fb4ec0287b4b0dc6ae23843ef14205682de3

Aliases

arxiv: 0710.0483 · arxiv_version: 0710.0483v1 · doi: 10.48550/arxiv.0710.0483 · pith_short_12: CRGAUI36QLM6 · pith_short_16: CRGAUI36QLM676KT · pith_short_8: CRGAUI36

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/CRGAUI36QLM676KTFSJSIMP3J3 \
  | 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: 144c0a237e82d9eff9532c932431fb4ec0287b4b0dc6ae23843ef14205682de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1f0f3e62e6abf0eb801672be9e21c285745d3918ac40c2a998757343761f0b8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-10-02T10:05:30Z",
    "title_canon_sha256": "45cebb6af3dfe051f4f15823c9577ab29fd85419ac3bf63b4d023303d621ec33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0483",
    "kind": "arxiv",
    "version": 1
  }
}